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Finding the Fourth Proportional to 211,760.70, 317,636.94 and 85,398.11

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Solution

The fourth proportional to 211,760.70, 317,636.94 and 85,398.11 is: 128,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,760.70 : 317,636.94 = 85,398.11 : x
  2. Step 2: Convert to fraction form
    211,760.70/317,636.94 = 85,398.11/x
  3. Step 3: Cross multiply
    211,760.70x = 317,636.94 × 85,398.11
  4. Step 4: Simplify right side
    211,760.70x = 27,125,592,754.00
  5. Step 5: Solve for x
    x = 27,125,592,754.00/211,760.70
  6. Step 6: Final answer
    x = 128,095.50

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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.