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Finding the Fourth Proportional to 78,182, 117,273 and 31,423.94

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Solution

The fourth proportional to 78,182, 117,273 and 31,423.94 is: 47,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,182 : 117,273 = 31,423.94 : x
  2. Step 2: Convert to fraction form
    78,182/117,273 = 31,423.94/x
  3. Step 3: Cross multiply
    78,182x = 117,273 × 31,423.94
  4. Step 4: Simplify right side
    78,182x = 3,685,179,715.62
  5. Step 5: Solve for x
    x = 3,685,179,715.62/78,182
  6. Step 6: Final answer
    x = 47,135.91

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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.