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Finding the Fourth Proportional to 51,351, 77,039.48 and 14,415

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Solution

The fourth proportional to 51,351, 77,039.48 and 14,415 is: 21,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,351 : 77,039.48 = 14,415 : x
  2. Step 2: Convert to fraction form
    51,351/77,039.48 = 14,415/x
  3. Step 3: Cross multiply
    51,351x = 77,039.48 × 14,415
  4. Step 4: Simplify right side
    51,351x = 1,110,524,104.20
  5. Step 5: Solve for x
    x = 1,110,524,104.20/51,351
  6. Step 6: Final answer
    x = 21,626.14

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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.