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Finding the Fourth Proportional to 205,048.60, 307,659.30 and 111,621.40

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Solution

The fourth proportional to 205,048.60, 307,659.30 and 111,621.40 is: 167,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,048.60 : 307,659.30 = 111,621.40 : x
  2. Step 2: Convert to fraction form
    205,048.60/307,659.30 = 111,621.40/x
  3. Step 3: Cross multiply
    205,048.60x = 307,659.30 × 111,621.40
  4. Step 4: Simplify right side
    205,048.60x = 34,341,361,789.02
  5. Step 5: Solve for x
    x = 34,341,361,789.02/205,048.60
  6. Step 6: Final answer
    x = 167,479.13

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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.