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Finding the Fourth Proportional to 159,564.40, 239,231.40 and 89,465.20

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Solution

The fourth proportional to 159,564.40, 239,231.40 and 89,465.20 is: 134,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,564.40 : 239,231.40 = 89,465.20 : x
  2. Step 2: Convert to fraction form
    159,564.40/239,231.40 = 89,465.20/x
  3. Step 3: Cross multiply
    159,564.40x = 239,231.40 × 89,465.20
  4. Step 4: Simplify right side
    159,564.40x = 21,402,885,047.28
  5. Step 5: Solve for x
    x = 21,402,885,047.28/159,564.40
  6. Step 6: Final answer
    x = 134,133.21

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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.