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Finding the Fourth Proportional to 211,299.46, 316,946.79 and 51,376.30

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Solution

The fourth proportional to 211,299.46, 316,946.79 and 51,376.30 is: 77,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,299.46 : 316,946.79 = 51,376.30 : x
  2. Step 2: Convert to fraction form
    211,299.46/316,946.79 = 51,376.30/x
  3. Step 3: Cross multiply
    211,299.46x = 316,946.79 × 51,376.30
  4. Step 4: Simplify right side
    211,299.46x = 16,283,553,367.08
  5. Step 5: Solve for x
    x = 16,283,553,367.08/211,299.46
  6. Step 6: Final answer
    x = 77,063.87

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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.