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Finding the Fourth Proportional to 132,563.36, 182,945.31 and 75,978.38

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Solution

The fourth proportional to 132,563.36, 182,945.31 and 75,978.38 is: 104,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,563.36 : 182,945.31 = 75,978.38 : x
  2. Step 2: Convert to fraction form
    132,563.36/182,945.31 = 75,978.38/x
  3. Step 3: Cross multiply
    132,563.36x = 182,945.31 × 75,978.38
  4. Step 4: Simplify right side
    132,563.36x = 13,899,888,282.40
  5. Step 5: Solve for x
    x = 13,899,888,282.40/132,563.36
  6. Step 6: Final answer
    x = 104,854.68

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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.