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Finding the Fourth Proportional to 203,464.20, 305,109.90 and 98,315.40

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Solution

The fourth proportional to 203,464.20, 305,109.90 and 98,315.40 is: 147,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,464.20 : 305,109.90 = 98,315.40 : x
  2. Step 2: Convert to fraction form
    203,464.20/305,109.90 = 98,315.40/x
  3. Step 3: Cross multiply
    203,464.20x = 305,109.90 × 98,315.40
  4. Step 4: Simplify right side
    203,464.20x = 29,997,001,862.46
  5. Step 5: Solve for x
    x = 29,997,001,862.46/203,464.20
  6. Step 6: Final answer
    x = 147,431.35

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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.