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Finding the Fourth Proportional to 129,702.80, 194,116.80 and 113,956.40

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Solution

The fourth proportional to 129,702.80, 194,116.80 and 113,956.40 is: 170,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,702.80 : 194,116.80 = 113,956.40 : x
  2. Step 2: Convert to fraction form
    129,702.80/194,116.80 = 113,956.40/x
  3. Step 3: Cross multiply
    129,702.80x = 194,116.80 × 113,956.40
  4. Step 4: Simplify right side
    129,702.80x = 22,120,851,707.52
  5. Step 5: Solve for x
    x = 22,120,851,707.52/129,702.80
  6. Step 6: Final answer
    x = 170,550.30

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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.