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Finding the Fourth Proportional to 147,945, 204,164.10 and 80,877

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Solution

The fourth proportional to 147,945, 204,164.10 and 80,877 is: 111,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,945 : 204,164.10 = 80,877 : x
  2. Step 2: Convert to fraction form
    147,945/204,164.10 = 80,877/x
  3. Step 3: Cross multiply
    147,945x = 204,164.10 × 80,877
  4. Step 4: Simplify right side
    147,945x = 16,512,179,915.70
  5. Step 5: Solve for x
    x = 16,512,179,915.70/147,945
  6. Step 6: Final answer
    x = 111,610.26

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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.