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Finding the Fourth Proportional to 205,842.50, 284,062.65 and 111,634.50

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Solution

The fourth proportional to 205,842.50, 284,062.65 and 111,634.50 is: 154,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,842.50 : 284,062.65 = 111,634.50 : x
  2. Step 2: Convert to fraction form
    205,842.50/284,062.65 = 111,634.50/x
  3. Step 3: Cross multiply
    205,842.50x = 284,062.65 × 111,634.50
  4. Step 4: Simplify right side
    205,842.50x = 31,711,191,901.43
  5. Step 5: Solve for x
    x = 31,711,191,901.43/205,842.50
  6. Step 6: Final answer
    x = 154,055.61

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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.