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Finding the Fourth Proportional to 82,781.25, 114,238.13 and 45,055.77

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Solution

The fourth proportional to 82,781.25, 114,238.13 and 45,055.77 is: 62,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,781.25 : 114,238.13 = 45,055.77 : x
  2. Step 2: Convert to fraction form
    82,781.25/114,238.13 = 45,055.77/x
  3. Step 3: Cross multiply
    82,781.25x = 114,238.13 × 45,055.77
  4. Step 4: Simplify right side
    82,781.25x = 5,147,086,685.23
  5. Step 5: Solve for x
    x = 5,147,086,685.23/82,781.25
  6. Step 6: Final answer
    x = 62,176.96

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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.