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Finding the Fourth Proportional to 82,407.60, 123,643.80 and 32,479.20

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Solution

The fourth proportional to 82,407.60, 123,643.80 and 32,479.20 is: 48,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407.60 : 123,643.80 = 32,479.20 : x
  2. Step 2: Convert to fraction form
    82,407.60/123,643.80 = 32,479.20/x
  3. Step 3: Cross multiply
    82,407.60x = 123,643.80 × 32,479.20
  4. Step 4: Simplify right side
    82,407.60x = 4,015,851,708.96
  5. Step 5: Solve for x
    x = 4,015,851,708.96/82,407.60
  6. Step 6: Final answer
    x = 48,731.57

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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.