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Finding the Fourth Proportional to 266,201.64, 399,069.18 and 100,106.28

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Solution

The fourth proportional to 266,201.64, 399,069.18 and 100,106.28 is: 150,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,201.64 : 399,069.18 = 100,106.28 : x
  2. Step 2: Convert to fraction form
    266,201.64/399,069.18 = 100,106.28/x
  3. Step 3: Cross multiply
    266,201.64x = 399,069.18 × 100,106.28
  4. Step 4: Simplify right side
    266,201.64x = 39,949,331,072.45
  5. Step 5: Solve for x
    x = 39,949,331,072.45/266,201.64
  6. Step 6: Final answer
    x = 150,071.69

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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.