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Finding the Fourth Proportional to 211,376.34, 291,790.62 and 126,477

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Solution

The fourth proportional to 211,376.34, 291,790.62 and 126,477 is: 174,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,376.34 : 291,790.62 = 126,477 : x
  2. Step 2: Convert to fraction form
    211,376.34/291,790.62 = 126,477/x
  3. Step 3: Cross multiply
    211,376.34x = 291,790.62 × 126,477
  4. Step 4: Simplify right side
    211,376.34x = 36,904,802,245.74
  5. Step 5: Solve for x
    x = 36,904,802,245.74/211,376.34
  6. Step 6: Final answer
    x = 174,592.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.