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Finding the Fourth Proportional to 81,808.40, 112,967.16 and 51,647.60

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Solution

The fourth proportional to 81,808.40, 112,967.16 and 51,647.60 is: 71,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,808.40 : 112,967.16 = 51,647.60 : x
  2. Step 2: Convert to fraction form
    81,808.40/112,967.16 = 51,647.60/x
  3. Step 3: Cross multiply
    81,808.40x = 112,967.16 × 51,647.60
  4. Step 4: Simplify right side
    81,808.40x = 5,834,482,692.82
  5. Step 5: Solve for x
    x = 5,834,482,692.82/81,808.40
  6. Step 6: Final answer
    x = 71,318.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.