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Finding the Fourth Proportional to 131,466, 181,423.08 and 71,850

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Solution

The fourth proportional to 131,466, 181,423.08 and 71,850 is: 99,153

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,466 : 181,423.08 = 71,850 : x
  2. Step 2: Convert to fraction form
    131,466/181,423.08 = 71,850/x
  3. Step 3: Cross multiply
    131,466x = 181,423.08 × 71,850
  4. Step 4: Simplify right side
    131,466x = 13,035,248,298
  5. Step 5: Solve for x
    x = 13,035,248,298/131,466
  6. Step 6: Final answer
    x = 99,153

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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.