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Finding the Fourth Proportional to 82,478.97, 124,336.52 and 76,986.16

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Solution

The fourth proportional to 82,478.97, 124,336.52 and 76,986.16 is: 116,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,478.97 : 124,336.52 = 76,986.16 : x
  2. Step 2: Convert to fraction form
    82,478.97/124,336.52 = 76,986.16/x
  3. Step 3: Cross multiply
    82,478.97x = 124,336.52 × 76,986.16
  4. Step 4: Simplify right side
    82,478.97x = 9,572,190,215.95
  5. Step 5: Solve for x
    x = 9,572,190,215.95/82,478.97
  6. Step 6: Final answer
    x = 116,056.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.