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Finding the Fourth Proportional to 83,215.63, 124,973.79 and 76,540.11

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Solution

The fourth proportional to 83,215.63, 124,973.79 and 76,540.11 is: 114,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,215.63 : 124,973.79 = 76,540.11 : x
  2. Step 2: Convert to fraction form
    83,215.63/124,973.79 = 76,540.11/x
  3. Step 3: Cross multiply
    83,215.63x = 124,973.79 × 76,540.11
  4. Step 4: Simplify right side
    83,215.63x = 9,565,507,633.72
  5. Step 5: Solve for x
    x = 9,565,507,633.72/83,215.63
  6. Step 6: Final answer
    x = 114,948.45

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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.