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Finding the Fourth Proportional to 138,646.32, 207,946.62 and 49,883.28

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Solution

The fourth proportional to 138,646.32, 207,946.62 and 49,883.28 is: 74,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,646.32 : 207,946.62 = 49,883.28 : x
  2. Step 2: Convert to fraction form
    138,646.32/207,946.62 = 49,883.28/x
  3. Step 3: Cross multiply
    138,646.32x = 207,946.62 × 49,883.28
  4. Step 4: Simplify right side
    138,646.32x = 10,373,059,470.51
  5. Step 5: Solve for x
    x = 10,373,059,470.51/138,646.32
  6. Step 6: Final answer
    x = 74,816.70

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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.