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Finding the Fourth Proportional to 73,842.80, 110,764.20 and 38,413.40

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Solution

The fourth proportional to 73,842.80, 110,764.20 and 38,413.40 is: 57,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,842.80 : 110,764.20 = 38,413.40 : x
  2. Step 2: Convert to fraction form
    73,842.80/110,764.20 = 38,413.40/x
  3. Step 3: Cross multiply
    73,842.80x = 110,764.20 × 38,413.40
  4. Step 4: Simplify right side
    73,842.80x = 4,254,829,520.28
  5. Step 5: Solve for x
    x = 4,254,829,520.28/73,842.80
  6. Step 6: Final answer
    x = 57,620.10

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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.