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Finding the Fourth Proportional to 82,689.72, 113,980.80 and 75,825.12

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Solution

The fourth proportional to 82,689.72, 113,980.80 and 75,825.12 is: 104,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,689.72 : 113,980.80 = 75,825.12 : x
  2. Step 2: Convert to fraction form
    82,689.72/113,980.80 = 75,825.12/x
  3. Step 3: Cross multiply
    82,689.72x = 113,980.80 × 75,825.12
  4. Step 4: Simplify right side
    82,689.72x = 8,642,607,837.70
  5. Step 5: Solve for x
    x = 8,642,607,837.70/82,689.72
  6. Step 6: Final answer
    x = 104,518.53

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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.