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Finding the Fourth Proportional to 73,253.40, 109,899.90 and 31,135.20

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Solution

The fourth proportional to 73,253.40, 109,899.90 and 31,135.20 is: 46,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,253.40 : 109,899.90 = 31,135.20 : x
  2. Step 2: Convert to fraction form
    73,253.40/109,899.90 = 31,135.20/x
  3. Step 3: Cross multiply
    73,253.40x = 109,899.90 × 31,135.20
  4. Step 4: Simplify right side
    73,253.40x = 3,421,755,366.48
  5. Step 5: Solve for x
    x = 3,421,755,366.48/73,253.40
  6. Step 6: Final answer
    x = 46,711.22

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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.