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Finding the Fourth Proportional to 137,301.71, 205,580.87 and 97,155.68

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Solution

The fourth proportional to 137,301.71, 205,580.87 and 97,155.68 is: 145,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,301.71 : 205,580.87 = 97,155.68 : x
  2. Step 2: Convert to fraction form
    137,301.71/205,580.87 = 97,155.68/x
  3. Step 3: Cross multiply
    137,301.71x = 205,580.87 × 97,155.68
  4. Step 4: Simplify right side
    137,301.71x = 19,973,349,780.43
  5. Step 5: Solve for x
    x = 19,973,349,780.43/137,301.71
  6. Step 6: Final answer
    x = 145,470.51

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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.