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Finding the Fourth Proportional to 71,396, 98,390.64 and 52,281.62

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Solution

The fourth proportional to 71,396, 98,390.64 and 52,281.62 is: 72,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,396 : 98,390.64 = 52,281.62 : x
  2. Step 2: Convert to fraction form
    71,396/98,390.64 = 52,281.62/x
  3. Step 3: Cross multiply
    71,396x = 98,390.64 × 52,281.62
  4. Step 4: Simplify right side
    71,396x = 5,144,022,052.04
  5. Step 5: Solve for x
    x = 5,144,022,052.04/71,396
  6. Step 6: Final answer
    x = 72,049.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.