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Finding the Fourth Proportional to 78,751.68, 118,127.52 and 32,008.20

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Solution

The fourth proportional to 78,751.68, 118,127.52 and 32,008.20 is: 48,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,751.68 : 118,127.52 = 32,008.20 : x
  2. Step 2: Convert to fraction form
    78,751.68/118,127.52 = 32,008.20/x
  3. Step 3: Cross multiply
    78,751.68x = 118,127.52 × 32,008.20
  4. Step 4: Simplify right side
    78,751.68x = 3,781,049,285.66
  5. Step 5: Solve for x
    x = 3,781,049,285.66/78,751.68
  6. Step 6: Final answer
    x = 48,012.30

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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.