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Finding the Fourth Proportional to 51,415, 70,952.70 and 29,059

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Solution

The fourth proportional to 51,415, 70,952.70 and 29,059 is: 40,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,415 : 70,952.70 = 29,059 : x
  2. Step 2: Convert to fraction form
    51,415/70,952.70 = 29,059/x
  3. Step 3: Cross multiply
    51,415x = 70,952.70 × 29,059
  4. Step 4: Simplify right side
    51,415x = 2,061,814,509.30
  5. Step 5: Solve for x
    x = 2,061,814,509.30/51,415
  6. Step 6: Final answer
    x = 40,101.42

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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.