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Finding the Fourth Proportional to 69,148.25, 103,737.98 and 21,121.16

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Solution

The fourth proportional to 69,148.25, 103,737.98 and 21,121.16 is: 31,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,148.25 : 103,737.98 = 21,121.16 : x
  2. Step 2: Convert to fraction form
    69,148.25/103,737.98 = 21,121.16/x
  3. Step 3: Cross multiply
    69,148.25x = 103,737.98 × 21,121.16
  4. Step 4: Simplify right side
    69,148.25x = 2,191,066,473.66
  5. Step 5: Solve for x
    x = 2,191,066,473.66/69,148.25
  6. Step 6: Final answer
    x = 31,686.51

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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.