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Finding the Fourth Proportional to 158,424.90, 218,631.45 and 86,809.50

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Solution

The fourth proportional to 158,424.90, 218,631.45 and 86,809.50 is: 119,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,424.90 : 218,631.45 = 86,809.50 : x
  2. Step 2: Convert to fraction form
    158,424.90/218,631.45 = 86,809.50/x
  3. Step 3: Cross multiply
    158,424.90x = 218,631.45 × 86,809.50
  4. Step 4: Simplify right side
    158,424.90x = 18,979,286,858.78
  5. Step 5: Solve for x
    x = 18,979,286,858.78/158,424.90
  6. Step 6: Final answer
    x = 119,799.90

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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.