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Finding the Fourth Proportional to 206,127.80, 284,464.54 and 115,484.52

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Solution

The fourth proportional to 206,127.80, 284,464.54 and 115,484.52 is: 159,373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,127.80 : 284,464.54 = 115,484.52 : x
  2. Step 2: Convert to fraction form
    206,127.80/284,464.54 = 115,484.52/x
  3. Step 3: Cross multiply
    206,127.80x = 284,464.54 × 115,484.52
  4. Step 4: Simplify right side
    206,127.80x = 32,851,250,858.92
  5. Step 5: Solve for x
    x = 32,851,250,858.92/206,127.80
  6. Step 6: Final answer
    x = 159,373.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.