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Finding the Fourth Proportional to 187,280, 280,947.96 and 68,942.24

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Solution

The fourth proportional to 187,280, 280,947.96 and 68,942.24 is: 103,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,280 : 280,947.96 = 68,942.24 : x
  2. Step 2: Convert to fraction form
    187,280/280,947.96 = 68,942.24/x
  3. Step 3: Cross multiply
    187,280x = 280,947.96 × 68,942.24
  4. Step 4: Simplify right side
    187,280x = 19,369,181,685.83
  5. Step 5: Solve for x
    x = 19,369,181,685.83/187,280
  6. Step 6: Final answer
    x = 103,423.65

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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.