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Finding the Fourth Proportional to 99,609.40, 149,413.78 and 31,226.16

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Solution

The fourth proportional to 99,609.40, 149,413.78 and 31,226.16 is: 46,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,609.40 : 149,413.78 = 31,226.16 : x
  2. Step 2: Convert to fraction form
    99,609.40/149,413.78 = 31,226.16/x
  3. Step 3: Cross multiply
    99,609.40x = 149,413.78 × 31,226.16
  4. Step 4: Simplify right side
    99,609.40x = 4,665,618,600.48
  5. Step 5: Solve for x
    x = 4,665,618,600.48/99,609.40
  6. Step 6: Final answer
    x = 46,839.14

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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.