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Finding the Fourth Proportional to 235,403.12, 352,993.76 and 85,538

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Solution

The fourth proportional to 235,403.12, 352,993.76 and 85,538 is: 128,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,403.12 : 352,993.76 = 85,538 : x
  2. Step 2: Convert to fraction form
    235,403.12/352,993.76 = 85,538/x
  3. Step 3: Cross multiply
    235,403.12x = 352,993.76 × 85,538
  4. Step 4: Simplify right side
    235,403.12x = 30,194,380,242.88
  5. Step 5: Solve for x
    x = 30,194,380,242.88/235,403.12
  6. Step 6: Final answer
    x = 128,266.70

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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.