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Finding the Fourth Proportional to 158,098.52, 218,177.68 and 86,476.98

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Solution

The fourth proportional to 158,098.52, 218,177.68 and 86,476.98 is: 119,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,098.52 : 218,177.68 = 86,476.98 : x
  2. Step 2: Convert to fraction form
    158,098.52/218,177.68 = 86,476.98/x
  3. Step 3: Cross multiply
    158,098.52x = 218,177.68 × 86,476.98
  4. Step 4: Simplify right side
    158,098.52x = 18,867,346,869.81
  5. Step 5: Solve for x
    x = 18,867,346,869.81/158,098.52
  6. Step 6: Final answer
    x = 119,339.17

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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.