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Finding the Fourth Proportional to 211,868, 317,802 and 78,781.76

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Solution

The fourth proportional to 211,868, 317,802 and 78,781.76 is: 118,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,868 : 317,802 = 78,781.76 : x
  2. Step 2: Convert to fraction form
    211,868/317,802 = 78,781.76/x
  3. Step 3: Cross multiply
    211,868x = 317,802 × 78,781.76
  4. Step 4: Simplify right side
    211,868x = 25,037,000,891.52
  5. Step 5: Solve for x
    x = 25,037,000,891.52/211,868
  6. Step 6: Final answer
    x = 118,172.64

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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.