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Finding the Fourth Proportional to 102,680.80, 153,790.80 and 84,248.80

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Solution

The fourth proportional to 102,680.80, 153,790.80 and 84,248.80 is: 126,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,680.80 : 153,790.80 = 84,248.80 : x
  2. Step 2: Convert to fraction form
    102,680.80/153,790.80 = 84,248.80/x
  3. Step 3: Cross multiply
    102,680.80x = 153,790.80 × 84,248.80
  4. Step 4: Simplify right side
    102,680.80x = 12,956,690,351.04
  5. Step 5: Solve for x
    x = 12,956,690,351.04/102,680.80
  6. Step 6: Final answer
    x = 126,184.16

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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.