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Finding the Fourth Proportional to 158,230.16, 218,356 and 86,609.44

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Solution

The fourth proportional to 158,230.16, 218,356 and 86,609.44 is: 119,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,230.16 : 218,356 = 86,609.44 : x
  2. Step 2: Convert to fraction form
    158,230.16/218,356 = 86,609.44/x
  3. Step 3: Cross multiply
    158,230.16x = 218,356 × 86,609.44
  4. Step 4: Simplify right side
    158,230.16x = 18,911,690,880.64
  5. Step 5: Solve for x
    x = 18,911,690,880.64/158,230.16
  6. Step 6: Final answer
    x = 119,520.14

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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.