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Finding the Fourth Proportional to 205,614.64, 308,020.92 and 135,280.72

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Solution

The fourth proportional to 205,614.64, 308,020.92 and 135,280.72 is: 202,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,614.64 : 308,020.92 = 135,280.72 : x
  2. Step 2: Convert to fraction form
    205,614.64/308,020.92 = 135,280.72/x
  3. Step 3: Cross multiply
    205,614.64x = 308,020.92 × 135,280.72
  4. Step 4: Simplify right side
    205,614.64x = 41,669,291,832.66
  5. Step 5: Solve for x
    x = 41,669,291,832.66/205,614.64
  6. Step 6: Final answer
    x = 202,657.22

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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.