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Finding the Fourth Proportional to 125,912.13, 188,868.19 and 42,806.13

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Solution

The fourth proportional to 125,912.13, 188,868.19 and 42,806.13 is: 64,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,912.13 : 188,868.19 = 42,806.13 : x
  2. Step 2: Convert to fraction form
    125,912.13/188,868.19 = 42,806.13/x
  3. Step 3: Cross multiply
    125,912.13x = 188,868.19 × 42,806.13
  4. Step 4: Simplify right side
    125,912.13x = 8,084,716,294.00
  5. Step 5: Solve for x
    x = 8,084,716,294.00/125,912.13
  6. Step 6: Final answer
    x = 64,209.19

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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.