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Finding the Fourth Proportional to 138,406.57, 207,621.25 and 38,567.75

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Solution

The fourth proportional to 138,406.57, 207,621.25 and 38,567.75 is: 57,854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,406.57 : 207,621.25 = 38,567.75 : x
  2. Step 2: Convert to fraction form
    138,406.57/207,621.25 = 38,567.75/x
  3. Step 3: Cross multiply
    138,406.57x = 207,621.25 × 38,567.75
  4. Step 4: Simplify right side
    138,406.57x = 8,007,483,438.63
  5. Step 5: Solve for x
    x = 8,007,483,438.63/138,406.57
  6. Step 6: Final answer
    x = 57,854.79

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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.