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Finding the Fourth Proportional to 211,266.31, 316,686.22 and 132,435.90

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Solution

The fourth proportional to 211,266.31, 316,686.22 and 132,435.90 is: 198,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,266.31 : 316,686.22 = 132,435.90 : x
  2. Step 2: Convert to fraction form
    211,266.31/316,686.22 = 132,435.90/x
  3. Step 3: Cross multiply
    211,266.31x = 316,686.22 × 132,435.90
  4. Step 4: Simplify right side
    211,266.31x = 41,940,624,563.30
  5. Step 5: Solve for x
    x = 41,940,624,563.30/211,266.31
  6. Step 6: Final answer
    x = 198,520.17

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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.