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Finding the Fourth Proportional to 70,502.75, 105,613.13 and 42,407.30

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Solution

The fourth proportional to 70,502.75, 105,613.13 and 42,407.30 is: 63,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502.75 : 105,613.13 = 42,407.30 : x
  2. Step 2: Convert to fraction form
    70,502.75/105,613.13 = 42,407.30/x
  3. Step 3: Cross multiply
    70,502.75x = 105,613.13 × 42,407.30
  4. Step 4: Simplify right side
    70,502.75x = 4,478,766,947.75
  5. Step 5: Solve for x
    x = 4,478,766,947.75/70,502.75
  6. Step 6: Final answer
    x = 63,526.14

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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.