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Finding the Fourth Proportional to 71,893.40, 107,307.82 and 67,461.08

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Solution

The fourth proportional to 71,893.40, 107,307.82 and 67,461.08 is: 100,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,893.40 : 107,307.82 = 67,461.08 : x
  2. Step 2: Convert to fraction form
    71,893.40/107,307.82 = 67,461.08/x
  3. Step 3: Cross multiply
    71,893.40x = 107,307.82 × 67,461.08
  4. Step 4: Simplify right side
    71,893.40x = 7,239,101,429.65
  5. Step 5: Solve for x
    x = 7,239,101,429.65/71,893.40
  6. Step 6: Final answer
    x = 100,692.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.