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Finding the Fourth Proportional to 187,281, 280,949.46 and 68,943.24

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Solution

The fourth proportional to 187,281, 280,949.46 and 68,943.24 is: 103,425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,281 : 280,949.46 = 68,943.24 : x
  2. Step 2: Convert to fraction form
    187,281/280,949.46 = 68,943.24/x
  3. Step 3: Cross multiply
    187,281x = 280,949.46 × 68,943.24
  4. Step 4: Simplify right side
    187,281x = 19,369,566,048.65
  5. Step 5: Solve for x
    x = 19,369,566,048.65/187,281
  6. Step 6: Final answer
    x = 103,425.15

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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.