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Finding the Fourth Proportional to 84,413.64, 126,374.42 and 73,134.20

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Solution

The fourth proportional to 84,413.64, 126,374.42 and 73,134.20 is: 109,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,413.64 : 126,374.42 = 73,134.20 : x
  2. Step 2: Convert to fraction form
    84,413.64/126,374.42 = 73,134.20/x
  3. Step 3: Cross multiply
    84,413.64x = 126,374.42 × 73,134.20
  4. Step 4: Simplify right side
    84,413.64x = 9,242,291,109.62
  5. Step 5: Solve for x
    x = 9,242,291,109.62/84,413.64
  6. Step 6: Final answer
    x = 109,488.12

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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.