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Finding the Fourth Proportional to 71,384.40, 107,033.40 and 31,934.16

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Solution

The fourth proportional to 71,384.40, 107,033.40 and 31,934.16 is: 47,881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,384.40 : 107,033.40 = 31,934.16 : x
  2. Step 2: Convert to fraction form
    71,384.40/107,033.40 = 31,934.16/x
  3. Step 3: Cross multiply
    71,384.40x = 107,033.40 × 31,934.16
  4. Step 4: Simplify right side
    71,384.40x = 3,418,021,720.94
  5. Step 5: Solve for x
    x = 3,418,021,720.94/71,384.40
  6. Step 6: Final answer
    x = 47,881.91

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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.