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Finding the Fourth Proportional to 120,642.57, 166,471.61 and 66,913.65

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Solution

The fourth proportional to 120,642.57, 166,471.61 and 66,913.65 is: 92,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,642.57 : 166,471.61 = 66,913.65 : x
  2. Step 2: Convert to fraction form
    120,642.57/166,471.61 = 66,913.65/x
  3. Step 3: Cross multiply
    120,642.57x = 166,471.61 × 66,913.65
  4. Step 4: Simplify right side
    120,642.57x = 11,139,222,711.91
  5. Step 5: Solve for x
    x = 11,139,222,711.91/120,642.57
  6. Step 6: Final answer
    x = 92,332.44

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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.