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Finding the Fourth Proportional to 211,915.83, 317,865.52 and 71,674.45

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Solution

The fourth proportional to 211,915.83, 317,865.52 and 71,674.45 is: 107,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,915.83 : 317,865.52 = 71,674.45 : x
  2. Step 2: Convert to fraction form
    211,915.83/317,865.52 = 71,674.45/x
  3. Step 3: Cross multiply
    211,915.83x = 317,865.52 × 71,674.45
  4. Step 4: Simplify right side
    211,915.83x = 22,782,836,319.96
  5. Step 5: Solve for x
    x = 22,782,836,319.96/211,915.83
  6. Step 6: Final answer
    x = 107,508.89

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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.