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Finding the Fourth Proportional to 211,785.30, 317,717.30 and 69,638.54

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Solution

The fourth proportional to 211,785.30, 317,717.30 and 69,638.54 is: 104,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,785.30 : 317,717.30 = 69,638.54 : x
  2. Step 2: Convert to fraction form
    211,785.30/317,717.30 = 69,638.54/x
  3. Step 3: Cross multiply
    211,785.30x = 317,717.30 × 69,638.54
  4. Step 4: Simplify right side
    211,785.30x = 22,125,367,490.25
  5. Step 5: Solve for x
    x = 22,125,367,490.25/211,785.30
  6. Step 6: Final answer
    x = 104,470.74

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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.