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Finding the Fourth Proportional to 205,251.60, 307,906.20 and 64,995.60

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Solution

The fourth proportional to 205,251.60, 307,906.20 and 64,995.60 is: 97,502.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,251.60 : 307,906.20 = 64,995.60 : x
  2. Step 2: Convert to fraction form
    205,251.60/307,906.20 = 64,995.60/x
  3. Step 3: Cross multiply
    205,251.60x = 307,906.20 × 64,995.60
  4. Step 4: Simplify right side
    205,251.60x = 20,012,548,212.72
  5. Step 5: Solve for x
    x = 20,012,548,212.72/205,251.60
  6. Step 6: Final answer
    x = 97,502.52

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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.