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Finding the Fourth Proportional to 138,722.80, 208,084.20 and 49,979.20

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Solution

The fourth proportional to 138,722.80, 208,084.20 and 49,979.20 is: 74,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,722.80 : 208,084.20 = 49,979.20 : x
  2. Step 2: Convert to fraction form
    138,722.80/208,084.20 = 49,979.20/x
  3. Step 3: Cross multiply
    138,722.80x = 208,084.20 × 49,979.20
  4. Step 4: Simplify right side
    138,722.80x = 10,399,881,848.64
  5. Step 5: Solve for x
    x = 10,399,881,848.64/138,722.80
  6. Step 6: Final answer
    x = 74,968.80

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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.