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Finding the Fourth Proportional to 82,839.64, 124,155.76 and 65,239.96

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Solution

The fourth proportional to 82,839.64, 124,155.76 and 65,239.96 is: 97,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,839.64 : 124,155.76 = 65,239.96 : x
  2. Step 2: Convert to fraction form
    82,839.64/124,155.76 = 65,239.96/x
  3. Step 3: Cross multiply
    82,839.64x = 124,155.76 × 65,239.96
  4. Step 4: Simplify right side
    82,839.64x = 8,099,916,816.17
  5. Step 5: Solve for x
    x = 8,099,916,816.17/82,839.64
  6. Step 6: Final answer
    x = 97,778.27

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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.