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Finding the Fourth Proportional to 51,257.28, 70,734.98 and 28,901.28

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Solution

The fourth proportional to 51,257.28, 70,734.98 and 28,901.28 is: 39,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257.28 : 70,734.98 = 28,901.28 : x
  2. Step 2: Convert to fraction form
    51,257.28/70,734.98 = 28,901.28/x
  3. Step 3: Cross multiply
    51,257.28x = 70,734.98 × 28,901.28
  4. Step 4: Simplify right side
    51,257.28x = 2,044,331,462.77
  5. Step 5: Solve for x
    x = 2,044,331,462.77/51,257.28
  6. Step 6: Final answer
    x = 39,883.73

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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.