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Finding the Fourth Proportional to 208,729.20, 312,748.20 and 177,625.20

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Solution

The fourth proportional to 208,729.20, 312,748.20 and 177,625.20 is: 266,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,729.20 : 312,748.20 = 177,625.20 : x
  2. Step 2: Convert to fraction form
    208,729.20/312,748.20 = 177,625.20/x
  3. Step 3: Cross multiply
    208,729.20x = 312,748.20 × 177,625.20
  4. Step 4: Simplify right side
    208,729.20x = 55,551,961,574.64
  5. Step 5: Solve for x
    x = 55,551,961,574.64/208,729.20
  6. Step 6: Final answer
    x = 266,143.70

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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.