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Finding the Fourth Proportional to 138,229.58, 207,305.73 and 38,365.98

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Solution

The fourth proportional to 138,229.58, 207,305.73 and 38,365.98 is: 57,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,229.58 : 207,305.73 = 38,365.98 : x
  2. Step 2: Convert to fraction form
    138,229.58/207,305.73 = 38,365.98/x
  3. Step 3: Cross multiply
    138,229.58x = 207,305.73 × 38,365.98
  4. Step 4: Simplify right side
    138,229.58x = 7,953,487,491.07
  5. Step 5: Solve for x
    x = 7,953,487,491.07/138,229.58
  6. Step 6: Final answer
    x = 57,538.25

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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.