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Finding the Fourth Proportional to 159,428,139.40, 239,142,209.10 and 159,428,139.40

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Solution

The fourth proportional to 159,428,139.40, 239,142,209.10 and 159,428,139.40 is: 239,142,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,428,139.40 : 239,142,209.10 = 159,428,139.40 : x
  2. Step 2: Convert to fraction form
    159,428,139.40/239,142,209.10 = 159,428,139.40/x
  3. Step 3: Cross multiply
    159,428,139.40x = 239,142,209.10 × 159,428,139.40
  4. Step 4: Simplify right side
    159,428,139.40x = 38,125,997,448,818,752
  5. Step 5: Solve for x
    x = 38,125,997,448,818,752/159,428,139.40
  6. Step 6: Final answer
    x = 239,142,209.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.