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Finding the Fourth Proportional to 51,542, 71,128 and 29,186

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Solution

The fourth proportional to 51,542, 71,128 and 29,186 is: 40,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,542 : 71,128 = 29,186 : x
  2. Step 2: Convert to fraction form
    51,542/71,128 = 29,186/x
  3. Step 3: Cross multiply
    51,542x = 71,128 × 29,186
  4. Step 4: Simplify right side
    51,542x = 2,075,941,808
  5. Step 5: Solve for x
    x = 2,075,941,808/51,542
  6. Step 6: Final answer
    x = 40,276.70

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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.