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Finding the Fourth Proportional to 158,046.29, 218,101.31 and 86,424.77

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Solution

The fourth proportional to 158,046.29, 218,101.31 and 86,424.77 is: 119,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,046.29 : 218,101.31 = 86,424.77 : x
  2. Step 2: Convert to fraction form
    158,046.29/218,101.31 = 86,424.77/x
  3. Step 3: Cross multiply
    158,046.29x = 218,101.31 × 86,424.77
  4. Step 4: Simplify right side
    158,046.29x = 18,849,355,990.67
  5. Step 5: Solve for x
    x = 18,849,355,990.67/158,046.29
  6. Step 6: Final answer
    x = 119,264.78

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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.