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Finding the Fourth Proportional to 211,169.80, 316,313.10 and 98,945.80

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Solution

The fourth proportional to 211,169.80, 316,313.10 and 98,945.80 is: 148,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,169.80 : 316,313.10 = 98,945.80 : x
  2. Step 2: Convert to fraction form
    211,169.80/316,313.10 = 98,945.80/x
  3. Step 3: Cross multiply
    211,169.80x = 316,313.10 × 98,945.80
  4. Step 4: Simplify right side
    211,169.80x = 31,297,852,729.98
  5. Step 5: Solve for x
    x = 31,297,852,729.98/211,169.80
  6. Step 6: Final answer
    x = 148,211.78

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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.