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Finding the Fourth Proportional to 138,196.80, 207,312.16 and 49,459.68

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Solution

The fourth proportional to 138,196.80, 207,312.16 and 49,459.68 is: 74,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,196.80 : 207,312.16 = 49,459.68 : x
  2. Step 2: Convert to fraction form
    138,196.80/207,312.16 = 49,459.68/x
  3. Step 3: Cross multiply
    138,196.80x = 207,312.16 × 49,459.68
  4. Step 4: Simplify right side
    138,196.80x = 10,253,593,093.71
  5. Step 5: Solve for x
    x = 10,253,593,093.71/138,196.80
  6. Step 6: Final answer
    x = 74,195.59

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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.