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Finding the Fourth Proportional to 56,489.28, 77,957.28 and 34,128.96

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Solution

The fourth proportional to 56,489.28, 77,957.28 and 34,128.96 is: 47,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,489.28 : 77,957.28 = 34,128.96 : x
  2. Step 2: Convert to fraction form
    56,489.28/77,957.28 = 34,128.96/x
  3. Step 3: Cross multiply
    56,489.28x = 77,957.28 × 34,128.96
  4. Step 4: Simplify right side
    56,489.28x = 2,660,600,890.83
  5. Step 5: Solve for x
    x = 2,660,600,890.83/56,489.28
  6. Step 6: Final answer
    x = 47,099.22

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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.