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Finding the Fourth Proportional to 138,656.14, 207,858.24 and 72,018.24

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Solution

The fourth proportional to 138,656.14, 207,858.24 and 72,018.24 is: 107,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,656.14 : 207,858.24 = 72,018.24 : x
  2. Step 2: Convert to fraction form
    138,656.14/207,858.24 = 72,018.24/x
  3. Step 3: Cross multiply
    138,656.14x = 207,858.24 × 72,018.24
  4. Step 4: Simplify right side
    138,656.14x = 14,969,584,614.30
  5. Step 5: Solve for x
    x = 14,969,584,614.30/138,656.14
  6. Step 6: Final answer
    x = 107,961.93

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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.