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Finding the Fourth Proportional to 147,298, 203,271.24 and 80,230

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Solution

The fourth proportional to 147,298, 203,271.24 and 80,230 is: 110,717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,298 : 203,271.24 = 80,230 : x
  2. Step 2: Convert to fraction form
    147,298/203,271.24 = 80,230/x
  3. Step 3: Cross multiply
    147,298x = 203,271.24 × 80,230
  4. Step 4: Simplify right side
    147,298x = 16,308,451,585.20
  5. Step 5: Solve for x
    x = 16,308,451,585.20/147,298
  6. Step 6: Final answer
    x = 110,717.40

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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.