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Finding the Fourth Proportional to 67,821.40, 101,741.70 and 21,069.40

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Solution

The fourth proportional to 67,821.40, 101,741.70 and 21,069.40 is: 31,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,821.40 : 101,741.70 = 21,069.40 : x
  2. Step 2: Convert to fraction form
    67,821.40/101,741.70 = 21,069.40/x
  3. Step 3: Cross multiply
    67,821.40x = 101,741.70 × 21,069.40
  4. Step 4: Simplify right side
    67,821.40x = 2,143,636,573.98
  5. Step 5: Solve for x
    x = 2,143,636,573.98/67,821.40
  6. Step 6: Final answer
    x = 31,607.08

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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.