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Finding the Fourth Proportional to 120,348.65, 180,486.02 and 83,147.78

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Solution

The fourth proportional to 120,348.65, 180,486.02 and 83,147.78 is: 124,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,348.65 : 180,486.02 = 83,147.78 : x
  2. Step 2: Convert to fraction form
    120,348.65/180,486.02 = 83,147.78/x
  3. Step 3: Cross multiply
    120,348.65x = 180,486.02 × 83,147.78
  4. Step 4: Simplify right side
    120,348.65x = 15,007,012,543.12
  5. Step 5: Solve for x
    x = 15,007,012,543.12/120,348.65
  6. Step 6: Final answer
    x = 124,696.14

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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.