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Finding the Fourth Proportional to 67,868.34, 101,802.51 and 21,121.23

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Solution

The fourth proportional to 67,868.34, 101,802.51 and 21,121.23 is: 31,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,868.34 : 101,802.51 = 21,121.23 : x
  2. Step 2: Convert to fraction form
    67,868.34/101,802.51 = 21,121.23/x
  3. Step 3: Cross multiply
    67,868.34x = 101,802.51 × 21,121.23
  4. Step 4: Simplify right side
    67,868.34x = 2,150,194,228.29
  5. Step 5: Solve for x
    x = 2,150,194,228.29/67,868.34
  6. Step 6: Final answer
    x = 31,681.85

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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.