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Finding the Fourth Proportional to 32,116.80, 48,160.80 and 12,388.80

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Solution

The fourth proportional to 32,116.80, 48,160.80 and 12,388.80 is: 18,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.80 : 48,160.80 = 12,388.80 : x
  2. Step 2: Convert to fraction form
    32,116.80/48,160.80 = 12,388.80/x
  3. Step 3: Cross multiply
    32,116.80x = 48,160.80 × 12,388.80
  4. Step 4: Simplify right side
    32,116.80x = 596,654,519.04
  5. Step 5: Solve for x
    x = 596,654,519.04/32,116.80
  6. Step 6: Final answer
    x = 18,577.65

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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.