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Finding the Fourth Proportional to 211,808.29, 317,773.93 and 85,383.29

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Solution

The fourth proportional to 211,808.29, 317,773.93 and 85,383.29 is: 128,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,808.29 : 317,773.93 = 85,383.29 : x
  2. Step 2: Convert to fraction form
    211,808.29/317,773.93 = 85,383.29/x
  3. Step 3: Cross multiply
    211,808.29x = 317,773.93 × 85,383.29
  4. Step 4: Simplify right side
    211,808.29x = 27,132,583,619.63
  5. Step 5: Solve for x
    x = 27,132,583,619.63/211,808.29
  6. Step 6: Final answer
    x = 128,099.72

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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.