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Finding the Fourth Proportional to 71,784.94, 107,692.80 and 21,869.06

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Solution

The fourth proportional to 71,784.94, 107,692.80 and 21,869.06 is: 32,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,784.94 : 107,692.80 = 21,869.06 : x
  2. Step 2: Convert to fraction form
    71,784.94/107,692.80 = 21,869.06/x
  3. Step 3: Cross multiply
    71,784.94x = 107,692.80 × 21,869.06
  4. Step 4: Simplify right side
    71,784.94x = 2,355,140,250.10
  5. Step 5: Solve for x
    x = 2,355,140,250.10/71,784.94
  6. Step 6: Final answer
    x = 32,808.28

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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.