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Finding the Fourth Proportional to 266,134.64, 399,085.28 and 99,806

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Solution

The fourth proportional to 266,134.64, 399,085.28 and 99,806 is: 149,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,134.64 : 399,085.28 = 99,806 : x
  2. Step 2: Convert to fraction form
    266,134.64/399,085.28 = 99,806/x
  3. Step 3: Cross multiply
    266,134.64x = 399,085.28 × 99,806
  4. Step 4: Simplify right side
    266,134.64x = 39,831,105,455.68
  5. Step 5: Solve for x
    x = 39,831,105,455.68/266,134.64
  6. Step 6: Final answer
    x = 149,665.24

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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.