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Finding the Fourth Proportional to 266,138.64, 399,091.32 and 99,810

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Solution

The fourth proportional to 266,138.64, 399,091.32 and 99,810 is: 149,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,138.64 : 399,091.32 = 99,810 : x
  2. Step 2: Convert to fraction form
    266,138.64/399,091.32 = 99,810/x
  3. Step 3: Cross multiply
    266,138.64x = 399,091.32 × 99,810
  4. Step 4: Simplify right side
    266,138.64x = 39,833,304,649.20
  5. Step 5: Solve for x
    x = 39,833,304,649.20/266,138.64
  6. Step 6: Final answer
    x = 149,671.26

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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.