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Finding the Fourth Proportional to 82,978.90, 124,512.18 and 49,765.66

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Solution

The fourth proportional to 82,978.90, 124,512.18 and 49,765.66 is: 74,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,978.90 : 124,512.18 = 49,765.66 : x
  2. Step 2: Convert to fraction form
    82,978.90/124,512.18 = 49,765.66/x
  3. Step 3: Cross multiply
    82,978.90x = 124,512.18 × 49,765.66
  4. Step 4: Simplify right side
    82,978.90x = 6,196,430,815.74
  5. Step 5: Solve for x
    x = 6,196,430,815.74/82,978.90
  6. Step 6: Final answer
    x = 74,674.78

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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.