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Finding the Fourth Proportional to 205,052.96, 307,612.56 and 64,801.28

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Solution

The fourth proportional to 205,052.96, 307,612.56 and 64,801.28 is: 97,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,052.96 : 307,612.56 = 64,801.28 : x
  2. Step 2: Convert to fraction form
    205,052.96/307,612.56 = 64,801.28/x
  3. Step 3: Cross multiply
    205,052.96x = 307,612.56 × 64,801.28
  4. Step 4: Simplify right side
    205,052.96x = 19,933,687,632.08
  5. Step 5: Solve for x
    x = 19,933,687,632.08/205,052.96
  6. Step 6: Final answer
    x = 97,212.39

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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.