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Finding the Fourth Proportional to 147,927, 204,139.26 and 80,859

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Solution

The fourth proportional to 147,927, 204,139.26 and 80,859 is: 111,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,927 : 204,139.26 = 80,859 : x
  2. Step 2: Convert to fraction form
    147,927/204,139.26 = 80,859/x
  3. Step 3: Cross multiply
    147,927x = 204,139.26 × 80,859
  4. Step 4: Simplify right side
    147,927x = 16,506,496,424.34
  5. Step 5: Solve for x
    x = 16,506,496,424.34/147,927
  6. Step 6: Final answer
    x = 111,585.42

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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.