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Finding the Fourth Proportional to 127,851.70, 191,806.35 and 75,234.10

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Solution

The fourth proportional to 127,851.70, 191,806.35 and 75,234.10 is: 112,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,851.70 : 191,806.35 = 75,234.10 : x
  2. Step 2: Convert to fraction form
    127,851.70/191,806.35 = 75,234.10/x
  3. Step 3: Cross multiply
    127,851.70x = 191,806.35 × 75,234.10
  4. Step 4: Simplify right side
    127,851.70x = 14,430,378,116.54
  5. Step 5: Solve for x
    x = 14,430,378,116.54/127,851.70
  6. Step 6: Final answer
    x = 112,868.10

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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.