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Finding the Fourth Proportional to 266,210.14, 399,081.93 and 100,114.78

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Solution

The fourth proportional to 266,210.14, 399,081.93 and 100,114.78 is: 150,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,210.14 : 399,081.93 = 100,114.78 : x
  2. Step 2: Convert to fraction form
    266,210.14/399,081.93 = 100,114.78/x
  3. Step 3: Cross multiply
    266,210.14x = 399,081.93 × 100,114.78
  4. Step 4: Simplify right side
    266,210.14x = 39,953,999,623.93
  5. Step 5: Solve for x
    x = 39,953,999,623.93/266,210.14
  6. Step 6: Final answer
    x = 150,084.44

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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.