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Finding the Fourth Proportional to 45,098.85, 67,664.70 and 21,413.64

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Solution

The fourth proportional to 45,098.85, 67,664.70 and 21,413.64 is: 32,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,098.85 : 67,664.70 = 21,413.64 : x
  2. Step 2: Convert to fraction form
    45,098.85/67,664.70 = 21,413.64/x
  3. Step 3: Cross multiply
    45,098.85x = 67,664.70 × 21,413.64
  4. Step 4: Simplify right side
    45,098.85x = 1,448,947,526.51
  5. Step 5: Solve for x
    x = 1,448,947,526.51/45,098.85
  6. Step 6: Final answer
    x = 32,128.26

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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.