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Finding the Fourth Proportional to 138,915.12, 207,918.24 and 75,577.20

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Solution

The fourth proportional to 138,915.12, 207,918.24 and 75,577.20 is: 113,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,915.12 : 207,918.24 = 75,577.20 : x
  2. Step 2: Convert to fraction form
    138,915.12/207,918.24 = 75,577.20/x
  3. Step 3: Cross multiply
    138,915.12x = 207,918.24 × 75,577.20
  4. Step 4: Simplify right side
    138,915.12x = 15,713,878,408.13
  5. Step 5: Solve for x
    x = 15,713,878,408.13/138,915.12
  6. Step 6: Final answer
    x = 113,118.56

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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.