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Finding the Fourth Proportional to 210,158.16, 315,125.92 and 91,691.12

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Solution

The fourth proportional to 210,158.16, 315,125.92 and 91,691.12 is: 137,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,158.16 : 315,125.92 = 91,691.12 : x
  2. Step 2: Convert to fraction form
    210,158.16/315,125.92 = 91,691.12/x
  3. Step 3: Cross multiply
    210,158.16x = 315,125.92 × 91,691.12
  4. Step 4: Simplify right side
    210,158.16x = 28,894,248,545.83
  5. Step 5: Solve for x
    x = 28,894,248,545.83/210,158.16
  6. Step 6: Final answer
    x = 137,488.11

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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.