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Finding the Fourth Proportional to 266,135.64, 399,086.78 and 99,807

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Solution

The fourth proportional to 266,135.64, 399,086.78 and 99,807 is: 149,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,135.64 : 399,086.78 = 99,807 : x
  2. Step 2: Convert to fraction form
    266,135.64/399,086.78 = 99,807/x
  3. Step 3: Cross multiply
    266,135.64x = 399,086.78 × 99,807
  4. Step 4: Simplify right side
    266,135.64x = 39,831,654,251.46
  5. Step 5: Solve for x
    x = 39,831,654,251.46/266,135.64
  6. Step 6: Final answer
    x = 149,666.74

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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.