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Finding the Fourth Proportional to 205,844.76, 284,065.76 and 111,636.76

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Solution

The fourth proportional to 205,844.76, 284,065.76 and 111,636.76 is: 154,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,844.76 : 284,065.76 = 111,636.76 : x
  2. Step 2: Convert to fraction form
    205,844.76/284,065.76 = 111,636.76/x
  3. Step 3: Cross multiply
    205,844.76x = 284,065.76 × 111,636.76
  4. Step 4: Simplify right side
    205,844.76x = 31,712,181,073.34
  5. Step 5: Solve for x
    x = 31,712,181,073.34/205,844.76
  6. Step 6: Final answer
    x = 154,058.72

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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.