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Finding the Fourth Proportional to 211,695.64, 317,540.71 and 51,772.96

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Solution

The fourth proportional to 211,695.64, 317,540.71 and 51,772.96 is: 77,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,695.64 : 317,540.71 = 51,772.96 : x
  2. Step 2: Convert to fraction form
    211,695.64/317,540.71 = 51,772.96/x
  3. Step 3: Cross multiply
    211,695.64x = 317,540.71 × 51,772.96
  4. Step 4: Simplify right side
    211,695.64x = 16,440,023,828.29
  5. Step 5: Solve for x
    x = 16,440,023,828.29/211,695.64
  6. Step 6: Final answer
    x = 77,658.77

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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.