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Finding the Fourth Proportional to 131,463, 181,418.94 and 71,847

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Solution

The fourth proportional to 131,463, 181,418.94 and 71,847 is: 99,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,463 : 181,418.94 = 71,847 : x
  2. Step 2: Convert to fraction form
    131,463/181,418.94 = 71,847/x
  3. Step 3: Cross multiply
    131,463x = 181,418.94 × 71,847
  4. Step 4: Simplify right side
    131,463x = 13,034,406,582.18
  5. Step 5: Solve for x
    x = 13,034,406,582.18/131,463
  6. Step 6: Final answer
    x = 99,148.86

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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.