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Finding the Fourth Proportional to 138,054.38, 207,070.43 and 38,216.41

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Solution

The fourth proportional to 138,054.38, 207,070.43 and 38,216.41 is: 57,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,054.38 : 207,070.43 = 38,216.41 : x
  2. Step 2: Convert to fraction form
    138,054.38/207,070.43 = 38,216.41/x
  3. Step 3: Cross multiply
    138,054.38x = 207,070.43 × 38,216.41
  4. Step 4: Simplify right side
    138,054.38x = 7,913,487,743.00
  5. Step 5: Solve for x
    x = 7,913,487,743.00/138,054.38
  6. Step 6: Final answer
    x = 57,321.53

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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.