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Finding the Fourth Proportional to 211,098.10, 316,537.80 and 77,909.80

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Solution

The fourth proportional to 211,098.10, 316,537.80 and 77,909.80 is: 116,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,098.10 : 316,537.80 = 77,909.80 : x
  2. Step 2: Convert to fraction form
    211,098.10/316,537.80 = 77,909.80/x
  3. Step 3: Cross multiply
    211,098.10x = 316,537.80 × 77,909.80
  4. Step 4: Simplify right side
    211,098.10x = 24,661,396,690.44
  5. Step 5: Solve for x
    x = 24,661,396,690.44/211,098.10
  6. Step 6: Final answer
    x = 116,824.34

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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.