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Finding the Fourth Proportional to 71,666, 107,512.50 and 34,228.88

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Solution

The fourth proportional to 71,666, 107,512.50 and 34,228.88 is: 51,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,666 : 107,512.50 = 34,228.88 : x
  2. Step 2: Convert to fraction form
    71,666/107,512.50 = 34,228.88/x
  3. Step 3: Cross multiply
    71,666x = 107,512.50 × 34,228.88
  4. Step 4: Simplify right side
    71,666x = 3,680,032,461.00
  5. Step 5: Solve for x
    x = 3,680,032,461.00/71,666
  6. Step 6: Final answer
    x = 51,349.77

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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.