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Finding the Fourth Proportional to 82,886.31, 124,330.32 and 66,351.44

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Solution

The fourth proportional to 82,886.31, 124,330.32 and 66,351.44 is: 99,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,886.31 : 124,330.32 = 66,351.44 : x
  2. Step 2: Convert to fraction form
    82,886.31/124,330.32 = 66,351.44/x
  3. Step 3: Cross multiply
    82,886.31x = 124,330.32 × 66,351.44
  4. Step 4: Simplify right side
    82,886.31x = 8,249,496,078.49
  5. Step 5: Solve for x
    x = 8,249,496,078.49/82,886.31
  6. Step 6: Final answer
    x = 99,527.85

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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.