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Finding the Fourth Proportional to 71,780, 107,670.96 and 22,532

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Solution

The fourth proportional to 71,780, 107,670.96 and 22,532 is: 33,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,780 : 107,670.96 = 22,532 : x
  2. Step 2: Convert to fraction form
    71,780/107,670.96 = 22,532/x
  3. Step 3: Cross multiply
    71,780x = 107,670.96 × 22,532
  4. Step 4: Simplify right side
    71,780x = 2,426,042,070.72
  5. Step 5: Solve for x
    x = 2,426,042,070.72/71,780
  6. Step 6: Final answer
    x = 33,798.30

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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.