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Finding the Fourth Proportional to 70,584.72, 97,414.64 and 40,372.80

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Solution

The fourth proportional to 70,584.72, 97,414.64 and 40,372.80 is: 55,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,584.72 : 97,414.64 = 40,372.80 : x
  2. Step 2: Convert to fraction form
    70,584.72/97,414.64 = 40,372.80/x
  3. Step 3: Cross multiply
    70,584.72x = 97,414.64 × 40,372.80
  4. Step 4: Simplify right side
    70,584.72x = 3,932,901,777.79
  5. Step 5: Solve for x
    x = 3,932,901,777.79/70,584.72
  6. Step 6: Final answer
    x = 55,718.88

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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.