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Finding the Fourth Proportional to 175,726, 242,545.62 and 100,318.24

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Solution

The fourth proportional to 175,726, 242,545.62 and 100,318.24 is: 138,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,726 : 242,545.62 = 100,318.24 : x
  2. Step 2: Convert to fraction form
    175,726/242,545.62 = 100,318.24/x
  3. Step 3: Cross multiply
    175,726x = 242,545.62 × 100,318.24
  4. Step 4: Simplify right side
    175,726x = 24,331,749,718.11
  5. Step 5: Solve for x
    x = 24,331,749,718.11/175,726
  6. Step 6: Final answer
    x = 138,464.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.