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Finding the Fourth Proportional to 158,590.25, 218,834.43 and 86,951.42

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Solution

The fourth proportional to 158,590.25, 218,834.43 and 86,951.42 is: 119,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,590.25 : 218,834.43 = 86,951.42 : x
  2. Step 2: Convert to fraction form
    158,590.25/218,834.43 = 86,951.42/x
  3. Step 3: Cross multiply
    158,590.25x = 218,834.43 × 86,951.42
  4. Step 4: Simplify right side
    158,590.25x = 19,027,964,433.39
  5. Step 5: Solve for x
    x = 19,027,964,433.39/158,590.25
  6. Step 6: Final answer
    x = 119,981.93

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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.