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Finding the Fourth Proportional to 51,911.78, 77,854.71 and 16,861.46

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Solution

The fourth proportional to 51,911.78, 77,854.71 and 16,861.46 is: 25,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,911.78 : 77,854.71 = 16,861.46 : x
  2. Step 2: Convert to fraction form
    51,911.78/77,854.71 = 16,861.46/x
  3. Step 3: Cross multiply
    51,911.78x = 77,854.71 × 16,861.46
  4. Step 4: Simplify right side
    51,911.78x = 1,312,744,078.48
  5. Step 5: Solve for x
    x = 1,312,744,078.48/51,911.78
  6. Step 6: Final answer
    x = 25,287.98

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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.