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Finding the Fourth Proportional to 71,654.40, 107,317.68 and 34,240.77

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Solution

The fourth proportional to 71,654.40, 107,317.68 and 34,240.77 is: 51,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,654.40 : 107,317.68 = 34,240.77 : x
  2. Step 2: Convert to fraction form
    71,654.40/107,317.68 = 34,240.77/x
  3. Step 3: Cross multiply
    71,654.40x = 107,317.68 × 34,240.77
  4. Step 4: Simplify right side
    71,654.40x = 3,674,639,997.81
  5. Step 5: Solve for x
    x = 3,674,639,997.81/71,654.40
  6. Step 6: Final answer
    x = 51,282.82

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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.