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Finding the Fourth Proportional to 85,283.68, 117,692.40 and 47,558.56

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Solution

The fourth proportional to 85,283.68, 117,692.40 and 47,558.56 is: 65,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,283.68 : 117,692.40 = 47,558.56 : x
  2. Step 2: Convert to fraction form
    85,283.68/117,692.40 = 47,558.56/x
  3. Step 3: Cross multiply
    85,283.68x = 117,692.40 × 47,558.56
  4. Step 4: Simplify right side
    85,283.68x = 5,597,281,066.94
  5. Step 5: Solve for x
    x = 5,597,281,066.94/85,283.68
  6. Step 6: Final answer
    x = 65,631.33

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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.