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Finding the Fourth Proportional to 138,425.30, 194,320.30 and 138,425.30

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Solution

The fourth proportional to 138,425.30, 194,320.30 and 138,425.30 is: 194,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,425.30 : 194,320.30 = 138,425.30 : x
  2. Step 2: Convert to fraction form
    138,425.30/194,320.30 = 138,425.30/x
  3. Step 3: Cross multiply
    138,425.30x = 194,320.30 × 138,425.30
  4. Step 4: Simplify right side
    138,425.30x = 26,898,845,823.59
  5. Step 5: Solve for x
    x = 26,898,845,823.59/138,425.30
  6. Step 6: Final answer
    x = 194,320.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.