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Finding the Fourth Proportional to 208,090, 312,061.20 and 74,934.52

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Solution

The fourth proportional to 208,090, 312,061.20 and 74,934.52 is: 112,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,090 : 312,061.20 = 74,934.52 : x
  2. Step 2: Convert to fraction form
    208,090/312,061.20 = 74,934.52/x
  3. Step 3: Cross multiply
    208,090x = 312,061.20 × 74,934.52
  4. Step 4: Simplify right side
    208,090x = 23,384,156,232.62
  5. Step 5: Solve for x
    x = 23,384,156,232.62/208,090
  6. Step 6: Final answer
    x = 112,375.20

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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.