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Finding the Fourth Proportional to 85,734.98, 128,685.30 and 41,392.88

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Solution

The fourth proportional to 85,734.98, 128,685.30 and 41,392.88 is: 62,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,734.98 : 128,685.30 = 41,392.88 : x
  2. Step 2: Convert to fraction form
    85,734.98/128,685.30 = 41,392.88/x
  3. Step 3: Cross multiply
    85,734.98x = 128,685.30 × 41,392.88
  4. Step 4: Simplify right side
    85,734.98x = 5,326,655,180.66
  5. Step 5: Solve for x
    x = 5,326,655,180.66/85,734.98
  6. Step 6: Final answer
    x = 62,129.31

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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.