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Finding the Fourth Proportional to 156,908.56, 216,524.82 and 85,288

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Solution

The fourth proportional to 156,908.56, 216,524.82 and 85,288 is: 117,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,908.56 : 216,524.82 = 85,288 : x
  2. Step 2: Convert to fraction form
    156,908.56/216,524.82 = 85,288/x
  3. Step 3: Cross multiply
    156,908.56x = 216,524.82 × 85,288
  4. Step 4: Simplify right side
    156,908.56x = 18,466,968,848.16
  5. Step 5: Solve for x
    x = 18,466,968,848.16/156,908.56
  6. Step 6: Final answer
    x = 117,692.55

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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.