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Finding the Fourth Proportional to 51,758, 71,426.04 and 29,402

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Solution

The fourth proportional to 51,758, 71,426.04 and 29,402 is: 40,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,758 : 71,426.04 = 29,402 : x
  2. Step 2: Convert to fraction form
    51,758/71,426.04 = 29,402/x
  3. Step 3: Cross multiply
    51,758x = 71,426.04 × 29,402
  4. Step 4: Simplify right side
    51,758x = 2,100,068,428.08
  5. Step 5: Solve for x
    x = 2,100,068,428.08/51,758
  6. Step 6: Final answer
    x = 40,574.76

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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.