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Finding the Fourth Proportional to 266,633.58, 399,971.02 and 89,141.26

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Solution

The fourth proportional to 266,633.58, 399,971.02 and 89,141.26 is: 133,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,633.58 : 399,971.02 = 89,141.26 : x
  2. Step 2: Convert to fraction form
    266,633.58/399,971.02 = 89,141.26/x
  3. Step 3: Cross multiply
    266,633.58x = 399,971.02 × 89,141.26
  4. Step 4: Simplify right side
    266,633.58x = 35,653,920,686.29
  5. Step 5: Solve for x
    x = 35,653,920,686.29/266,633.58
  6. Step 6: Final answer
    x = 133,718.79

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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.