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Finding the Fourth Proportional to 67,969.24, 101,953.86 and 21,226.12

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Solution

The fourth proportional to 67,969.24, 101,953.86 and 21,226.12 is: 31,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,969.24 : 101,953.86 = 21,226.12 : x
  2. Step 2: Convert to fraction form
    67,969.24/101,953.86 = 21,226.12/x
  3. Step 3: Cross multiply
    67,969.24x = 101,953.86 × 21,226.12
  4. Step 4: Simplify right side
    67,969.24x = 2,164,084,866.82
  5. Step 5: Solve for x
    x = 2,164,084,866.82/67,969.24
  6. Step 6: Final answer
    x = 31,839.18

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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.