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Finding the Fourth Proportional to 76,116.12, 114,162.84 and 19,957.20

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Solution

The fourth proportional to 76,116.12, 114,162.84 and 19,957.20 is: 29,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,116.12 : 114,162.84 = 19,957.20 : x
  2. Step 2: Convert to fraction form
    76,116.12/114,162.84 = 19,957.20/x
  3. Step 3: Cross multiply
    76,116.12x = 114,162.84 × 19,957.20
  4. Step 4: Simplify right side
    76,116.12x = 2,278,370,630.45
  5. Step 5: Solve for x
    x = 2,278,370,630.45/76,116.12
  6. Step 6: Final answer
    x = 29,932.83

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1.5x scale

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.