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Finding the Fourth Proportional to 138,141.32, 207,211.97 and 98,775.32

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Solution

The fourth proportional to 138,141.32, 207,211.97 and 98,775.32 is: 148,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,141.32 : 207,211.97 = 98,775.32 : x
  2. Step 2: Convert to fraction form
    138,141.32/207,211.97 = 98,775.32/x
  3. Step 3: Cross multiply
    138,141.32x = 207,211.97 × 98,775.32
  4. Step 4: Simplify right side
    138,141.32x = 20,467,427,855.46
  5. Step 5: Solve for x
    x = 20,467,427,855.46/138,141.32
  6. Step 6: Final answer
    x = 148,162.97

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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.