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Finding the Fourth Proportional to 149,044.86, 205,711.11 and 85,425.30

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Solution

The fourth proportional to 149,044.86, 205,711.11 and 85,425.30 is: 117,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,044.86 : 205,711.11 = 85,425.30 : x
  2. Step 2: Convert to fraction form
    149,044.86/205,711.11 = 85,425.30/x
  3. Step 3: Cross multiply
    149,044.86x = 205,711.11 × 85,425.30
  4. Step 4: Simplify right side
    149,044.86x = 17,572,933,285.08
  5. Step 5: Solve for x
    x = 17,572,933,285.08/149,044.86
  6. Step 6: Final answer
    x = 117,903.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.