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Finding the Fourth Proportional to 85,138.29, 127,587.83 and 67,290.48

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Solution

The fourth proportional to 85,138.29, 127,587.83 and 67,290.48 is: 100,841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,138.29 : 127,587.83 = 67,290.48 : x
  2. Step 2: Convert to fraction form
    85,138.29/127,587.83 = 67,290.48/x
  3. Step 3: Cross multiply
    85,138.29x = 127,587.83 × 67,290.48
  4. Step 4: Simplify right side
    85,138.29x = 8,585,445,986.41
  5. Step 5: Solve for x
    x = 8,585,445,986.41/85,138.29
  6. Step 6: Final answer
    x = 100,841.18

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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.