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Finding the Fourth Proportional to 208,043.10, 312,064.65 and 187,047.90

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Solution

The fourth proportional to 208,043.10, 312,064.65 and 187,047.90 is: 280,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,043.10 : 312,064.65 = 187,047.90 : x
  2. Step 2: Convert to fraction form
    208,043.10/312,064.65 = 187,047.90/x
  3. Step 3: Cross multiply
    208,043.10x = 312,064.65 × 187,047.90
  4. Step 4: Simplify right side
    208,043.10x = 58,371,037,446.74
  5. Step 5: Solve for x
    x = 58,371,037,446.74/208,043.10
  6. Step 6: Final answer
    x = 280,571.85

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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.