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Finding the Fourth Proportional to 138,051.83, 207,078.04 and 38,212.31

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Solution

The fourth proportional to 138,051.83, 207,078.04 and 38,212.31 is: 57,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,051.83 : 207,078.04 = 38,212.31 : x
  2. Step 2: Convert to fraction form
    138,051.83/207,078.04 = 38,212.31/x
  3. Step 3: Cross multiply
    138,051.83x = 207,078.04 × 38,212.31
  4. Step 4: Simplify right side
    138,051.83x = 7,912,931,193.22
  5. Step 5: Solve for x
    x = 7,912,931,193.22/138,051.83
  6. Step 6: Final answer
    x = 57,318.55

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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.