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Finding the Fourth Proportional to 147,646.32, 203,749.08 and 80,578.80

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Solution

The fourth proportional to 147,646.32, 203,749.08 and 80,578.80 is: 111,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,646.32 : 203,749.08 = 80,578.80 : x
  2. Step 2: Convert to fraction form
    147,646.32/203,749.08 = 80,578.80/x
  3. Step 3: Cross multiply
    147,646.32x = 203,749.08 × 80,578.80
  4. Step 4: Simplify right side
    147,646.32x = 16,417,856,367.50
  5. Step 5: Solve for x
    x = 16,417,856,367.50/147,646.32
  6. Step 6: Final answer
    x = 111,197.19

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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.