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Finding the Fourth Proportional to 75,076.80, 103,623.48 and 49,587.72

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Solution

The fourth proportional to 75,076.80, 103,623.48 and 49,587.72 is: 68,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,076.80 : 103,623.48 = 49,587.72 : x
  2. Step 2: Convert to fraction form
    75,076.80/103,623.48 = 49,587.72/x
  3. Step 3: Cross multiply
    75,076.80x = 103,623.48 × 49,587.72
  4. Step 4: Simplify right side
    75,076.80x = 5,138,452,111.67
  5. Step 5: Solve for x
    x = 5,138,452,111.67/75,076.80
  6. Step 6: Final answer
    x = 68,442.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.