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Finding the Fourth Proportional to 99,664.40, 149,237.40 and 64,413.20

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Solution

The fourth proportional to 99,664.40, 149,237.40 and 64,413.20 is: 96,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,664.40 : 149,237.40 = 64,413.20 : x
  2. Step 2: Convert to fraction form
    99,664.40/149,237.40 = 64,413.20/x
  3. Step 3: Cross multiply
    99,664.40x = 149,237.40 × 64,413.20
  4. Step 4: Simplify right side
    99,664.40x = 9,612,858,493.68
  5. Step 5: Solve for x
    x = 9,612,858,493.68/99,664.40
  6. Step 6: Final answer
    x = 96,452.28

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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.