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Finding the Fourth Proportional to 127,859.95, 191,854.70 and 85,194.54

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Solution

The fourth proportional to 127,859.95, 191,854.70 and 85,194.54 is: 127,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,859.95 : 191,854.70 = 85,194.54 : x
  2. Step 2: Convert to fraction form
    127,859.95/191,854.70 = 85,194.54/x
  3. Step 3: Cross multiply
    127,859.95x = 191,854.70 × 85,194.54
  4. Step 4: Simplify right side
    127,859.95x = 16,344,972,806.84
  5. Step 5: Solve for x
    x = 16,344,972,806.84/127,859.95
  6. Step 6: Final answer
    x = 127,834.97

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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.