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Finding the Fourth Proportional to 51,385, 77,077.52 and 14,449

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Solution

The fourth proportional to 51,385, 77,077.52 and 14,449 is: 21,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,385 : 77,077.52 = 14,449 : x
  2. Step 2: Convert to fraction form
    51,385/77,077.52 = 14,449/x
  3. Step 3: Cross multiply
    51,385x = 77,077.52 × 14,449
  4. Step 4: Simplify right side
    51,385x = 1,113,693,086.48
  5. Step 5: Solve for x
    x = 1,113,693,086.48/51,385
  6. Step 6: Final answer
    x = 21,673.51

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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.