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Finding the Fourth Proportional to 205,866.15, 308,752.57 and 104,561.47

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Solution

The fourth proportional to 205,866.15, 308,752.57 and 104,561.47 is: 156,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,866.15 : 308,752.57 = 104,561.47 : x
  2. Step 2: Convert to fraction form
    205,866.15/308,752.57 = 104,561.47/x
  3. Step 3: Cross multiply
    205,866.15x = 308,752.57 × 104,561.47
  4. Step 4: Simplify right side
    205,866.15x = 32,283,622,585.48
  5. Step 5: Solve for x
    x = 32,283,622,585.48/205,866.15
  6. Step 6: Final answer
    x = 156,818.51

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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.