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Finding the Fourth Proportional to 138,902.16, 208,359 and 40,406.16

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Solution

The fourth proportional to 138,902.16, 208,359 and 40,406.16 is: 60,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,902.16 : 208,359 = 40,406.16 : x
  2. Step 2: Convert to fraction form
    138,902.16/208,359 = 40,406.16/x
  3. Step 3: Cross multiply
    138,902.16x = 208,359 × 40,406.16
  4. Step 4: Simplify right side
    138,902.16x = 8,418,987,091.44
  5. Step 5: Solve for x
    x = 8,418,987,091.44/138,902.16
  6. Step 6: Final answer
    x = 60,610.92

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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.