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Finding the Fourth Proportional to 70,687.14, 97,543.50 and 38,854.50

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Solution

The fourth proportional to 70,687.14, 97,543.50 and 38,854.50 is: 53,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,687.14 : 97,543.50 = 38,854.50 : x
  2. Step 2: Convert to fraction form
    70,687.14/97,543.50 = 38,854.50/x
  3. Step 3: Cross multiply
    70,687.14x = 97,543.50 × 38,854.50
  4. Step 4: Simplify right side
    70,687.14x = 3,790,003,920.75
  5. Step 5: Solve for x
    x = 3,790,003,920.75/70,687.14
  6. Step 6: Final answer
    x = 53,616.60

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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.