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Finding the Fourth Proportional to 144,911.10, 217,265.40 and 85,716.30

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Solution

The fourth proportional to 144,911.10, 217,265.40 and 85,716.30 is: 128,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,911.10 : 217,265.40 = 85,716.30 : x
  2. Step 2: Convert to fraction form
    144,911.10/217,265.40 = 85,716.30/x
  3. Step 3: Cross multiply
    144,911.10x = 217,265.40 × 85,716.30
  4. Step 4: Simplify right side
    144,911.10x = 18,623,186,206.02
  5. Step 5: Solve for x
    x = 18,623,186,206.02/144,911.10
  6. Step 6: Final answer
    x = 128,514.56

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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.