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Finding the Fourth Proportional to 205,612.64, 308,017.92 and 135,278.72

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Solution

The fourth proportional to 205,612.64, 308,017.92 and 135,278.72 is: 202,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,612.64 : 308,017.92 = 135,278.72 : x
  2. Step 2: Convert to fraction form
    205,612.64/308,017.92 = 135,278.72/x
  3. Step 3: Cross multiply
    205,612.64x = 308,017.92 × 135,278.72
  4. Step 4: Simplify right side
    205,612.64x = 41,668,269,954.66
  5. Step 5: Solve for x
    x = 41,668,269,954.66/205,612.64
  6. Step 6: Final answer
    x = 202,654.22

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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.