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Finding the Fourth Proportional to 82,615.98, 113,982.34 and 57,113.16

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Solution

The fourth proportional to 82,615.98, 113,982.34 and 57,113.16 is: 78,797.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,615.98 : 113,982.34 = 57,113.16 : x
  2. Step 2: Convert to fraction form
    82,615.98/113,982.34 = 57,113.16/x
  3. Step 3: Cross multiply
    82,615.98x = 113,982.34 × 57,113.16
  4. Step 4: Simplify right side
    82,615.98x = 6,509,891,959.90
  5. Step 5: Solve for x
    x = 6,509,891,959.90/82,615.98
  6. Step 6: Final answer
    x = 78,797.01

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1.5x scale

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.