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Finding the Fourth Proportional to 205,135.60, 307,789.80 and 111,708.40

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Solution

The fourth proportional to 205,135.60, 307,789.80 and 111,708.40 is: 167,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,135.60 : 307,789.80 = 111,708.40 : x
  2. Step 2: Convert to fraction form
    205,135.60/307,789.80 = 111,708.40/x
  3. Step 3: Cross multiply
    205,135.60x = 307,789.80 × 111,708.40
  4. Step 4: Simplify right side
    205,135.60x = 34,382,706,094.32
  5. Step 5: Solve for x
    x = 34,382,706,094.32/205,135.60
  6. Step 6: Final answer
    x = 167,609.65

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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.