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Finding the Fourth Proportional to 70,391.28, 97,140 and 38,560.24

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Solution

The fourth proportional to 70,391.28, 97,140 and 38,560.24 is: 53,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,391.28 : 97,140 = 38,560.24 : x
  2. Step 2: Convert to fraction form
    70,391.28/97,140 = 38,560.24/x
  3. Step 3: Cross multiply
    70,391.28x = 97,140 × 38,560.24
  4. Step 4: Simplify right side
    70,391.28x = 3,745,741,713.60
  5. Step 5: Solve for x
    x = 3,745,741,713.60/70,391.28
  6. Step 6: Final answer
    x = 53,213.15

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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.