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Finding the Fourth Proportional to 138,043.94, 207,070.54 and 38,195.78

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Solution

The fourth proportional to 138,043.94, 207,070.54 and 38,195.78 is: 57,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,043.94 : 207,070.54 = 38,195.78 : x
  2. Step 2: Convert to fraction form
    138,043.94/207,070.54 = 38,195.78/x
  3. Step 3: Cross multiply
    138,043.94x = 207,070.54 × 38,195.78
  4. Step 4: Simplify right side
    138,043.94x = 7,909,219,659.48
  5. Step 5: Solve for x
    x = 7,909,219,659.48/138,043.94
  6. Step 6: Final answer
    x = 57,294.94

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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.