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Finding the Fourth Proportional to 159,116.93, 219,582.61 and 86,519.87

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Solution

The fourth proportional to 159,116.93, 219,582.61 and 86,519.87 is: 119,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,116.93 : 219,582.61 = 86,519.87 : x
  2. Step 2: Convert to fraction form
    159,116.93/219,582.61 = 86,519.87/x
  3. Step 3: Cross multiply
    159,116.93x = 219,582.61 × 86,519.87
  4. Step 4: Simplify right side
    159,116.93x = 18,998,257,773.55
  5. Step 5: Solve for x
    x = 18,998,257,773.55/159,116.93
  6. Step 6: Final answer
    x = 119,398.10

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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.