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Finding the Fourth Proportional to 138,731.20, 208,096.80 and 103,301.80

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Solution

The fourth proportional to 138,731.20, 208,096.80 and 103,301.80 is: 154,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,731.20 : 208,096.80 = 103,301.80 : x
  2. Step 2: Convert to fraction form
    138,731.20/208,096.80 = 103,301.80/x
  3. Step 3: Cross multiply
    138,731.20x = 208,096.80 × 103,301.80
  4. Step 4: Simplify right side
    138,731.20x = 21,496,774,014.24
  5. Step 5: Solve for x
    x = 21,496,774,014.24/138,731.20
  6. Step 6: Final answer
    x = 154,952.70

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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.