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Finding the Fourth Proportional to 51,112, 70,523.94 and 29,887.16

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Solution

The fourth proportional to 51,112, 70,523.94 and 29,887.16 is: 41,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,112 : 70,523.94 = 29,887.16 : x
  2. Step 2: Convert to fraction form
    51,112/70,523.94 = 29,887.16/x
  3. Step 3: Cross multiply
    51,112x = 70,523.94 × 29,887.16
  4. Step 4: Simplify right side
    51,112x = 2,107,760,278.61
  5. Step 5: Solve for x
    x = 2,107,760,278.61/51,112
  6. Step 6: Final answer
    x = 41,238.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.