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Finding the Fourth Proportional to 158,515.72, 218,753.46 and 86,894.20

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Solution

The fourth proportional to 158,515.72, 218,753.46 and 86,894.20 is: 119,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,515.72 : 218,753.46 = 86,894.20 : x
  2. Step 2: Convert to fraction form
    158,515.72/218,753.46 = 86,894.20/x
  3. Step 3: Cross multiply
    158,515.72x = 218,753.46 × 86,894.20
  4. Step 4: Simplify right side
    158,515.72x = 19,008,406,903.93
  5. Step 5: Solve for x
    x = 19,008,406,903.93/158,515.72
  6. Step 6: Final answer
    x = 119,914.96

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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.