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Finding the Fourth Proportional to 111,497.80, 166,974 and 100,702.84

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Solution

The fourth proportional to 111,497.80, 166,974 and 100,702.84 is: 150,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,497.80 : 166,974 = 100,702.84 : x
  2. Step 2: Convert to fraction form
    111,497.80/166,974 = 100,702.84/x
  3. Step 3: Cross multiply
    111,497.80x = 166,974 × 100,702.84
  4. Step 4: Simplify right side
    111,497.80x = 16,814,756,006.16
  5. Step 5: Solve for x
    x = 16,814,756,006.16/111,497.80
  6. Step 6: Final answer
    x = 150,807.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.