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Finding the Fourth Proportional to 147,856, 204,041.28 and 80,788

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Solution

The fourth proportional to 147,856, 204,041.28 and 80,788 is: 111,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,856 : 204,041.28 = 80,788 : x
  2. Step 2: Convert to fraction form
    147,856/204,041.28 = 80,788/x
  3. Step 3: Cross multiply
    147,856x = 204,041.28 × 80,788
  4. Step 4: Simplify right side
    147,856x = 16,484,086,928.64
  5. Step 5: Solve for x
    x = 16,484,086,928.64/147,856
  6. Step 6: Final answer
    x = 111,487.44

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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.