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Finding the Fourth Proportional to 100,357.11, 138,413.08 and 85,299.61

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Solution

The fourth proportional to 100,357.11, 138,413.08 and 85,299.61 is: 117,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,357.11 : 138,413.08 = 85,299.61 : x
  2. Step 2: Convert to fraction form
    100,357.11/138,413.08 = 85,299.61/x
  3. Step 3: Cross multiply
    100,357.11x = 138,413.08 × 85,299.61
  4. Step 4: Simplify right side
    100,357.11x = 11,806,581,742.90
  5. Step 5: Solve for x
    x = 11,806,581,742.90/100,357.11
  6. Step 6: Final answer
    x = 117,645.69

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1.5x scale

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.