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Finding the Fourth Proportional to 42,296.30, 63,353.12 and 39,812

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Solution

The fourth proportional to 42,296.30, 63,353.12 and 39,812 is: 59,632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,296.30 : 63,353.12 = 39,812 : x
  2. Step 2: Convert to fraction form
    42,296.30/63,353.12 = 39,812/x
  3. Step 3: Cross multiply
    42,296.30x = 63,353.12 × 39,812
  4. Step 4: Simplify right side
    42,296.30x = 2,522,214,413.44
  5. Step 5: Solve for x
    x = 2,522,214,413.44/42,296.30
  6. Step 6: Final answer
    x = 59,632.03

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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.