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Finding the Fourth Proportional to 80,304.96, 110,872.86 and 51,637.50

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Solution

The fourth proportional to 80,304.96, 110,872.86 and 51,637.50 is: 71,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,304.96 : 110,872.86 = 51,637.50 : x
  2. Step 2: Convert to fraction form
    80,304.96/110,872.86 = 51,637.50/x
  3. Step 3: Cross multiply
    80,304.96x = 110,872.86 × 51,637.50
  4. Step 4: Simplify right side
    80,304.96x = 5,725,197,308.25
  5. Step 5: Solve for x
    x = 5,725,197,308.25/80,304.96
  6. Step 6: Final answer
    x = 71,293.20

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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.