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Finding the Fourth Proportional to 208,175.66, 312,306.69 and 83,526.38

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Solution

The fourth proportional to 208,175.66, 312,306.69 and 83,526.38 is: 125,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,175.66 : 312,306.69 = 83,526.38 : x
  2. Step 2: Convert to fraction form
    208,175.66/312,306.69 = 83,526.38/x
  3. Step 3: Cross multiply
    208,175.66x = 312,306.69 × 83,526.38
  4. Step 4: Simplify right side
    208,175.66x = 26,085,847,265.48
  5. Step 5: Solve for x
    x = 26,085,847,265.48/208,175.66
  6. Step 6: Final answer
    x = 125,306.90

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1.5x scale

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.