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Finding the Fourth Proportional to 266,120.64, 399,064.32 and 99,792

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Solution

The fourth proportional to 266,120.64, 399,064.32 and 99,792 is: 149,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,120.64 : 399,064.32 = 99,792 : x
  2. Step 2: Convert to fraction form
    266,120.64/399,064.32 = 99,792/x
  3. Step 3: Cross multiply
    266,120.64x = 399,064.32 × 99,792
  4. Step 4: Simplify right side
    266,120.64x = 39,823,426,621.44
  5. Step 5: Solve for x
    x = 39,823,426,621.44/266,120.64
  6. Step 6: Final answer
    x = 149,644.26

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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.