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Finding the Fourth Proportional to 82,776.60, 124,067.70 and 38,309.45

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Solution

The fourth proportional to 82,776.60, 124,067.70 and 38,309.45 is: 57,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,776.60 : 124,067.70 = 38,309.45 : x
  2. Step 2: Convert to fraction form
    82,776.60/124,067.70 = 38,309.45/x
  3. Step 3: Cross multiply
    82,776.60x = 124,067.70 × 38,309.45
  4. Step 4: Simplify right side
    82,776.60x = 4,752,964,729.43
  5. Step 5: Solve for x
    x = 4,752,964,729.43/82,776.60
  6. Step 6: Final answer
    x = 57,419.18

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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.