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Finding the Fourth Proportional to 208,306.80, 312,460.68 and 75,281.04

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Solution

The fourth proportional to 208,306.80, 312,460.68 and 75,281.04 is: 112,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,306.80 : 312,460.68 = 75,281.04 : x
  2. Step 2: Convert to fraction form
    208,306.80/312,460.68 = 75,281.04/x
  3. Step 3: Cross multiply
    208,306.80x = 312,460.68 × 75,281.04
  4. Step 4: Simplify right side
    208,306.80x = 23,522,364,949.51
  5. Step 5: Solve for x
    x = 23,522,364,949.51/208,306.80
  6. Step 6: Final answer
    x = 112,921.73

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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.