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Finding the Fourth Proportional to 208,307.80, 312,462.18 and 75,282.04

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Solution

The fourth proportional to 208,307.80, 312,462.18 and 75,282.04 is: 112,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,307.80 : 312,462.18 = 75,282.04 : x
  2. Step 2: Convert to fraction form
    208,307.80/312,462.18 = 75,282.04/x
  3. Step 3: Cross multiply
    208,307.80x = 312,462.18 × 75,282.04
  4. Step 4: Simplify right side
    208,307.80x = 23,522,790,333.25
  5. Step 5: Solve for x
    x = 23,522,790,333.25/208,307.80
  6. Step 6: Final answer
    x = 112,923.23

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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.