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Finding the Fourth Proportional to 211,509.52, 317,247.46 and 85,060.62

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Solution

The fourth proportional to 211,509.52, 317,247.46 and 85,060.62 is: 127,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,509.52 : 317,247.46 = 85,060.62 : x
  2. Step 2: Convert to fraction form
    211,509.52/317,247.46 = 85,060.62/x
  3. Step 3: Cross multiply
    211,509.52x = 317,247.46 × 85,060.62
  4. Step 4: Simplify right side
    211,509.52x = 26,985,265,428.37
  5. Step 5: Solve for x
    x = 26,985,265,428.37/211,509.52
  6. Step 6: Final answer
    x = 127,584.17

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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.