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Finding the Fourth Proportional to 203,437.30, 305,155.95 and 98,266.90

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Solution

The fourth proportional to 203,437.30, 305,155.95 and 98,266.90 is: 147,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,437.30 : 305,155.95 = 98,266.90 : x
  2. Step 2: Convert to fraction form
    203,437.30/305,155.95 = 98,266.90/x
  3. Step 3: Cross multiply
    203,437.30x = 305,155.95 × 98,266.90
  4. Step 4: Simplify right side
    203,437.30x = 29,986,729,223.06
  5. Step 5: Solve for x
    x = 29,986,729,223.06/203,437.30
  6. Step 6: Final answer
    x = 147,400.35

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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.