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Finding the Fourth Proportional to 68,692.30, 103,053.21 and 21,306.40

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Solution

The fourth proportional to 68,692.30, 103,053.21 and 21,306.40 is: 31,964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,692.30 : 103,053.21 = 21,306.40 : x
  2. Step 2: Convert to fraction form
    68,692.30/103,053.21 = 21,306.40/x
  3. Step 3: Cross multiply
    68,692.30x = 103,053.21 × 21,306.40
  4. Step 4: Simplify right side
    68,692.30x = 2,195,692,291.75
  5. Step 5: Solve for x
    x = 2,195,692,291.75/68,692.30
  6. Step 6: Final answer
    x = 31,964.17

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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.