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Finding the Fourth Proportional to 205,359.90, 308,039.85 and 112,047.90

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Solution

The fourth proportional to 205,359.90, 308,039.85 and 112,047.90 is: 168,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,359.90 : 308,039.85 = 112,047.90 : x
  2. Step 2: Convert to fraction form
    205,359.90/308,039.85 = 112,047.90/x
  3. Step 3: Cross multiply
    205,359.90x = 308,039.85 × 112,047.90
  4. Step 4: Simplify right side
    205,359.90x = 34,515,218,308.82
  5. Step 5: Solve for x
    x = 34,515,218,308.82/205,359.90
  6. Step 6: Final answer
    x = 168,071.85

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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.