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Finding the Fourth Proportional to 211,317.80, 316,976.70 and 71,061.80

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Solution

The fourth proportional to 211,317.80, 316,976.70 and 71,061.80 is: 106,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,317.80 : 316,976.70 = 71,061.80 : x
  2. Step 2: Convert to fraction form
    211,317.80/316,976.70 = 71,061.80/x
  3. Step 3: Cross multiply
    211,317.80x = 316,976.70 × 71,061.80
  4. Step 4: Simplify right side
    211,317.80x = 22,524,934,860.06
  5. Step 5: Solve for x
    x = 22,524,934,860.06/211,317.80
  6. Step 6: Final answer
    x = 106,592.70

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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.