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Finding the Fourth Proportional to 82,981, 114,513.78 and 45,255.52

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Solution

The fourth proportional to 82,981, 114,513.78 and 45,255.52 is: 62,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,981 : 114,513.78 = 45,255.52 : x
  2. Step 2: Convert to fraction form
    82,981/114,513.78 = 45,255.52/x
  3. Step 3: Cross multiply
    82,981x = 114,513.78 × 45,255.52
  4. Step 4: Simplify right side
    82,981x = 5,182,380,661.07
  5. Step 5: Solve for x
    x = 5,182,380,661.07/82,981
  6. Step 6: Final answer
    x = 62,452.62

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