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Finding the Fourth Proportional to 97,313.20, 145,861.80 and 38,129.20

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Solution

The fourth proportional to 97,313.20, 145,861.80 and 38,129.20 is: 57,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,313.20 : 145,861.80 = 38,129.20 : x
  2. Step 2: Convert to fraction form
    97,313.20/145,861.80 = 38,129.20/x
  3. Step 3: Cross multiply
    97,313.20x = 145,861.80 × 38,129.20
  4. Step 4: Simplify right side
    97,313.20x = 5,561,593,744.56
  5. Step 5: Solve for x
    x = 5,561,593,744.56/97,313.20
  6. Step 6: Final answer
    x = 57,151.48

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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.