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Finding the Fourth Proportional to 187,301, 280,979.50 and 68,963.24

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Solution

The fourth proportional to 187,301, 280,979.50 and 68,963.24 is: 103,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,301 : 280,979.50 = 68,963.24 : x
  2. Step 2: Convert to fraction form
    187,301/280,979.50 = 68,963.24/x
  3. Step 3: Cross multiply
    187,301x = 280,979.50 × 68,963.24
  4. Step 4: Simplify right side
    187,301x = 19,377,256,693.58
  5. Step 5: Solve for x
    x = 19,377,256,693.58/187,301
  6. Step 6: Final answer
    x = 103,455.17

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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.