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Finding the Fourth Proportional to 203,176.30, 304,655.10 and 84,713.80

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Solution

The fourth proportional to 203,176.30, 304,655.10 and 84,713.80 is: 127,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,176.30 : 304,655.10 = 84,713.80 : x
  2. Step 2: Convert to fraction form
    203,176.30/304,655.10 = 84,713.80/x
  3. Step 3: Cross multiply
    203,176.30x = 304,655.10 × 84,713.80
  4. Step 4: Simplify right side
    203,176.30x = 25,808,491,210.38
  5. Step 5: Solve for x
    x = 25,808,491,210.38/203,176.30
  6. Step 6: Final answer
    x = 127,025.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.