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Finding the Fourth Proportional to 96,469.78, 144,471.37 and 83,406.10

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Solution

The fourth proportional to 96,469.78, 144,471.37 and 83,406.10 is: 124,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,469.78 : 144,471.37 = 83,406.10 : x
  2. Step 2: Convert to fraction form
    96,469.78/144,471.37 = 83,406.10/x
  3. Step 3: Cross multiply
    96,469.78x = 144,471.37 × 83,406.10
  4. Step 4: Simplify right side
    96,469.78x = 12,049,793,533.36
  5. Step 5: Solve for x
    x = 12,049,793,533.36/96,469.78
  6. Step 6: Final answer
    x = 124,907.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.