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Finding the Fourth Proportional to 82,373.76, 113,724.80 and 54,128.64

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Solution

The fourth proportional to 82,373.76, 113,724.80 and 54,128.64 is: 74,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,373.76 : 113,724.80 = 54,128.64 : x
  2. Step 2: Convert to fraction form
    82,373.76/113,724.80 = 54,128.64/x
  3. Step 3: Cross multiply
    82,373.76x = 113,724.80 × 54,128.64
  4. Step 4: Simplify right side
    82,373.76x = 6,155,768,758.27
  5. Step 5: Solve for x
    x = 6,155,768,758.27/82,373.76
  6. Step 6: Final answer
    x = 74,729.73

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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.