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Finding the Fourth Proportional to 81,314.55, 121,990.05 and 31,390.20

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Solution

The fourth proportional to 81,314.55, 121,990.05 and 31,390.20 is: 47,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,314.55 : 121,990.05 = 31,390.20 : x
  2. Step 2: Convert to fraction form
    81,314.55/121,990.05 = 31,390.20/x
  3. Step 3: Cross multiply
    81,314.55x = 121,990.05 × 31,390.20
  4. Step 4: Simplify right side
    81,314.55x = 3,829,292,067.51
  5. Step 5: Solve for x
    x = 3,829,292,067.51/81,314.55
  6. Step 6: Final answer
    x = 47,092.34

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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.