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Finding the Fourth Proportional to 147,924, 204,135.12 and 80,856

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Solution

The fourth proportional to 147,924, 204,135.12 and 80,856 is: 111,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,924 : 204,135.12 = 80,856 : x
  2. Step 2: Convert to fraction form
    147,924/204,135.12 = 80,856/x
  3. Step 3: Cross multiply
    147,924x = 204,135.12 × 80,856
  4. Step 4: Simplify right side
    147,924x = 16,505,549,262.72
  5. Step 5: Solve for x
    x = 16,505,549,262.72/147,924
  6. Step 6: Final answer
    x = 111,581.28

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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.