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Finding the Fourth Proportional to 208,037.80, 312,164.70 and 97,229.80

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Solution

The fourth proportional to 208,037.80, 312,164.70 and 97,229.80 is: 145,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,037.80 : 312,164.70 = 97,229.80 : x
  2. Step 2: Convert to fraction form
    208,037.80/312,164.70 = 97,229.80/x
  3. Step 3: Cross multiply
    208,037.80x = 312,164.70 × 97,229.80
  4. Step 4: Simplify right side
    208,037.80x = 30,351,711,348.06
  5. Step 5: Solve for x
    x = 30,351,711,348.06/208,037.80
  6. Step 6: Final answer
    x = 145,895.18

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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.