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Finding the Fourth Proportional to 65,128.76, 97,724.56 and 56,711.24

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Solution

The fourth proportional to 65,128.76, 97,724.56 and 56,711.24 is: 85,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,128.76 : 97,724.56 = 56,711.24 : x
  2. Step 2: Convert to fraction form
    65,128.76/97,724.56 = 56,711.24/x
  3. Step 3: Cross multiply
    65,128.76x = 97,724.56 × 56,711.24
  4. Step 4: Simplify right side
    65,128.76x = 5,542,080,976.05
  5. Step 5: Solve for x
    x = 5,542,080,976.05/65,128.76
  6. Step 6: Final answer
    x = 85,094.22

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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.