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Finding the Fourth Proportional to 51,120, 70,545.62 and 28,764

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Solution

The fourth proportional to 51,120, 70,545.62 and 28,764 is: 39,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,120 : 70,545.62 = 28,764 : x
  2. Step 2: Convert to fraction form
    51,120/70,545.62 = 28,764/x
  3. Step 3: Cross multiply
    51,120x = 70,545.62 × 28,764
  4. Step 4: Simplify right side
    51,120x = 2,029,174,213.68
  5. Step 5: Solve for x
    x = 2,029,174,213.68/51,120
  6. Step 6: Final answer
    x = 39,694.33

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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.