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Finding the Fourth Proportional to 205,894.98, 284,139.88 and 115,248.68

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Solution

The fourth proportional to 205,894.98, 284,139.88 and 115,248.68 is: 159,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,894.98 : 284,139.88 = 115,248.68 : x
  2. Step 2: Convert to fraction form
    205,894.98/284,139.88 = 115,248.68/x
  3. Step 3: Cross multiply
    205,894.98x = 284,139.88 × 115,248.68
  4. Step 4: Simplify right side
    205,894.98x = 32,746,746,105.36
  5. Step 5: Solve for x
    x = 32,746,746,105.36/205,894.98
  6. Step 6: Final answer
    x = 159,045.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.