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Finding the Fourth Proportional to 206,632.61, 285,079.65 and 135,053.91

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Solution

The fourth proportional to 206,632.61, 285,079.65 and 135,053.91 is: 186,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,632.61 : 285,079.65 = 135,053.91 : x
  2. Step 2: Convert to fraction form
    206,632.61/285,079.65 = 135,053.91/x
  3. Step 3: Cross multiply
    206,632.61x = 285,079.65 × 135,053.91
  4. Step 4: Simplify right side
    206,632.61x = 38,501,121,393.93
  5. Step 5: Solve for x
    x = 38,501,121,393.93/206,632.61
  6. Step 6: Final answer
    x = 186,326.46

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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.