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Finding the Fourth Proportional to 138,644.02, 207,957.83 and 38,802.00

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Solution

The fourth proportional to 138,644.02, 207,957.83 and 38,802.00 is: 58,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,644.02 : 207,957.83 = 38,802.00 : x
  2. Step 2: Convert to fraction form
    138,644.02/207,957.83 = 38,802.00/x
  3. Step 3: Cross multiply
    138,644.02x = 207,957.83 × 38,802.00
  4. Step 4: Simplify right side
    138,644.02x = 8,069,180,523.75
  5. Step 5: Solve for x
    x = 8,069,180,523.75/138,644.02
  6. Step 6: Final answer
    x = 58,200.71

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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.