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Finding the Fourth Proportional to 203,434.80, 305,152.20 and 98,264.40

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Solution

The fourth proportional to 203,434.80, 305,152.20 and 98,264.40 is: 147,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,434.80 : 305,152.20 = 98,264.40 : x
  2. Step 2: Convert to fraction form
    203,434.80/305,152.20 = 98,264.40/x
  3. Step 3: Cross multiply
    203,434.80x = 305,152.20 × 98,264.40
  4. Step 4: Simplify right side
    203,434.80x = 29,985,597,841.68
  5. Step 5: Solve for x
    x = 29,985,597,841.68/203,434.80
  6. Step 6: Final answer
    x = 147,396.60

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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.