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Finding the Fourth Proportional to 96,578.16, 132,984.72 and 85,666.20

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Solution

The fourth proportional to 96,578.16, 132,984.72 and 85,666.20 is: 117,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,578.16 : 132,984.72 = 85,666.20 : x
  2. Step 2: Convert to fraction form
    96,578.16/132,984.72 = 85,666.20/x
  3. Step 3: Cross multiply
    96,578.16x = 132,984.72 × 85,666.20
  4. Step 4: Simplify right side
    96,578.16x = 11,392,295,620.46
  5. Step 5: Solve for x
    x = 11,392,295,620.46/96,578.16
  6. Step 6: Final answer
    x = 117,959.34

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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.