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Finding the Fourth Proportional to 135,029.10, 202,543.65 and 128,468.10

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Solution

The fourth proportional to 135,029.10, 202,543.65 and 128,468.10 is: 192,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,029.10 : 202,543.65 = 128,468.10 : x
  2. Step 2: Convert to fraction form
    135,029.10/202,543.65 = 128,468.10/x
  3. Step 3: Cross multiply
    135,029.10x = 202,543.65 × 128,468.10
  4. Step 4: Simplify right side
    135,029.10x = 26,020,397,882.57
  5. Step 5: Solve for x
    x = 26,020,397,882.57/135,029.10
  6. Step 6: Final answer
    x = 192,702.15

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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.