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Finding the Fourth Proportional to 51,490.92, 71,064.17 and 28,838.54

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Solution

The fourth proportional to 51,490.92, 71,064.17 and 28,838.54 is: 39,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,490.92 : 71,064.17 = 28,838.54 : x
  2. Step 2: Convert to fraction form
    51,490.92/71,064.17 = 28,838.54/x
  3. Step 3: Cross multiply
    51,490.92x = 71,064.17 × 28,838.54
  4. Step 4: Simplify right side
    51,490.92x = 2,049,386,409.60
  5. Step 5: Solve for x
    x = 2,049,386,409.60/51,490.92
  6. Step 6: Final answer
    x = 39,800.93

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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.