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Finding the Fourth Proportional to 203,959.96, 305,496.30 and 98,557

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Solution

The fourth proportional to 203,959.96, 305,496.30 and 98,557 is: 147,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,959.96 : 305,496.30 = 98,557 : x
  2. Step 2: Convert to fraction form
    203,959.96/305,496.30 = 98,557/x
  3. Step 3: Cross multiply
    203,959.96x = 305,496.30 × 98,557
  4. Step 4: Simplify right side
    203,959.96x = 30,108,798,839.10
  5. Step 5: Solve for x
    x = 30,108,798,839.10/203,959.96
  6. Step 6: Final answer
    x = 147,621.13

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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.