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Finding the Fourth Proportional to 266,437.13, 399,852.95 and 126,196.16

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Solution

The fourth proportional to 266,437.13, 399,852.95 and 126,196.16 is: 189,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,437.13 : 399,852.95 = 126,196.16 : x
  2. Step 2: Convert to fraction form
    266,437.13/399,852.95 = 126,196.16/x
  3. Step 3: Cross multiply
    266,437.13x = 399,852.95 × 126,196.16
  4. Step 4: Simplify right side
    266,437.13x = 50,459,904,224.43
  5. Step 5: Solve for x
    x = 50,459,904,224.43/266,437.13
  6. Step 6: Final answer
    x = 189,387.66

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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.