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Finding the Fourth Proportional to 159,914, 220,700.76 and 92,846

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Solution

The fourth proportional to 159,914, 220,700.76 and 92,846 is: 128,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,914 : 220,700.76 = 92,846 : x
  2. Step 2: Convert to fraction form
    159,914/220,700.76 = 92,846/x
  3. Step 3: Cross multiply
    159,914x = 220,700.76 × 92,846
  4. Step 4: Simplify right side
    159,914x = 20,491,182,762.96
  5. Step 5: Solve for x
    x = 20,491,182,762.96/159,914
  6. Step 6: Final answer
    x = 128,138.77

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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.