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Finding the Fourth Proportional to 159,092.40, 219,543.30 and 86,493

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Solution

The fourth proportional to 159,092.40, 219,543.30 and 86,493 is: 119,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,092.40 : 219,543.30 = 86,493 : x
  2. Step 2: Convert to fraction form
    159,092.40/219,543.30 = 86,493/x
  3. Step 3: Cross multiply
    159,092.40x = 219,543.30 × 86,493
  4. Step 4: Simplify right side
    159,092.40x = 18,988,958,646.90
  5. Step 5: Solve for x
    x = 18,988,958,646.90/159,092.40
  6. Step 6: Final answer
    x = 119,358.05

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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.