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Finding the Fourth Proportional to 138,798.44, 208,180.38 and 45,296.36

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Solution

The fourth proportional to 138,798.44, 208,180.38 and 45,296.36 is: 67,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,798.44 : 208,180.38 = 45,296.36 : x
  2. Step 2: Convert to fraction form
    138,798.44/208,180.38 = 45,296.36/x
  3. Step 3: Cross multiply
    138,798.44x = 208,180.38 × 45,296.36
  4. Step 4: Simplify right side
    138,798.44x = 9,429,813,437.42
  5. Step 5: Solve for x
    x = 9,429,813,437.42/138,798.44
  6. Step 6: Final answer
    x = 67,938.90

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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.