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Finding the Fourth Proportional to 147,722.64, 203,856.12 and 80,654.64

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Solution

The fourth proportional to 147,722.64, 203,856.12 and 80,654.64 is: 111,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,722.64 : 203,856.12 = 80,654.64 : x
  2. Step 2: Convert to fraction form
    147,722.64/203,856.12 = 80,654.64/x
  3. Step 3: Cross multiply
    147,722.64x = 203,856.12 × 80,654.64
  4. Step 4: Simplify right side
    147,722.64x = 16,441,941,970.40
  5. Step 5: Solve for x
    x = 16,441,941,970.40/147,722.64
  6. Step 6: Final answer
    x = 111,302.79

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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.