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Finding the Fourth Proportional to 218,142.16, 327,152.76 and 138,128.08

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Solution

The fourth proportional to 218,142.16, 327,152.76 and 138,128.08 is: 207,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,142.16 : 327,152.76 = 138,128.08 : x
  2. Step 2: Convert to fraction form
    218,142.16/327,152.76 = 138,128.08/x
  3. Step 3: Cross multiply
    218,142.16x = 327,152.76 × 138,128.08
  4. Step 4: Simplify right side
    218,142.16x = 45,188,982,605.50
  5. Step 5: Solve for x
    x = 45,188,982,605.50/218,142.16
  6. Step 6: Final answer
    x = 207,153.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.