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Finding the Fourth Proportional to 158,432.64, 218,642.12 and 86,817.24

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Solution

The fourth proportional to 158,432.64, 218,642.12 and 86,817.24 is: 119,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,432.64 : 218,642.12 = 86,817.24 : x
  2. Step 2: Convert to fraction form
    158,432.64/218,642.12 = 86,817.24/x
  3. Step 3: Cross multiply
    158,432.64x = 218,642.12 × 86,817.24
  4. Step 4: Simplify right side
    158,432.64x = 18,981,905,406.15
  5. Step 5: Solve for x
    x = 18,981,905,406.15/158,432.64
  6. Step 6: Final answer
    x = 119,810.57

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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.