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Finding the Fourth Proportional to 138,142.56, 207,146.88 and 63,240.24

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Solution

The fourth proportional to 138,142.56, 207,146.88 and 63,240.24 is: 94,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,142.56 : 207,146.88 = 63,240.24 : x
  2. Step 2: Convert to fraction form
    138,142.56/207,146.88 = 63,240.24/x
  3. Step 3: Cross multiply
    138,142.56x = 207,146.88 × 63,240.24
  4. Step 4: Simplify right side
    138,142.56x = 13,100,018,406.45
  5. Step 5: Solve for x
    x = 13,100,018,406.45/138,142.56
  6. Step 6: Final answer
    x = 94,829.71

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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.