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Finding the Fourth Proportional to 82,437.60, 123,656.40 and 71,162.40

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Solution

The fourth proportional to 82,437.60, 123,656.40 and 71,162.40 is: 106,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,437.60 : 123,656.40 = 71,162.40 : x
  2. Step 2: Convert to fraction form
    82,437.60/123,656.40 = 71,162.40/x
  3. Step 3: Cross multiply
    82,437.60x = 123,656.40 × 71,162.40
  4. Step 4: Simplify right side
    82,437.60x = 8,799,686,199.36
  5. Step 5: Solve for x
    x = 8,799,686,199.36/82,437.60
  6. Step 6: Final answer
    x = 106,743.60

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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.