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Finding the Fourth Proportional to 142,413.92, 213,749.28 and 75,909.44

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Solution

The fourth proportional to 142,413.92, 213,749.28 and 75,909.44 is: 113,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,413.92 : 213,749.28 = 75,909.44 : x
  2. Step 2: Convert to fraction form
    142,413.92/213,749.28 = 75,909.44/x
  3. Step 3: Cross multiply
    142,413.92x = 213,749.28 × 75,909.44
  4. Step 4: Simplify right side
    142,413.92x = 16,225,588,145.20
  5. Step 5: Solve for x
    x = 16,225,588,145.20/142,413.92
  6. Step 6: Final answer
    x = 113,932.60

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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.