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Finding the Fourth Proportional to 71,616, 107,429.76 and 22,368

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Solution

The fourth proportional to 71,616, 107,429.76 and 22,368 is: 33,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,616 : 107,429.76 = 22,368 : x
  2. Step 2: Convert to fraction form
    71,616/107,429.76 = 22,368/x
  3. Step 3: Cross multiply
    71,616x = 107,429.76 × 22,368
  4. Step 4: Simplify right side
    71,616x = 2,402,988,871.68
  5. Step 5: Solve for x
    x = 2,402,988,871.68/71,616
  6. Step 6: Final answer
    x = 33,553.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.