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Finding the Fourth Proportional to 72,838.52, 100,516.85 and 40,573.52

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Solution

The fourth proportional to 72,838.52, 100,516.85 and 40,573.52 is: 55,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,838.52 : 100,516.85 = 40,573.52 : x
  2. Step 2: Convert to fraction form
    72,838.52/100,516.85 = 40,573.52/x
  3. Step 3: Cross multiply
    72,838.52x = 100,516.85 × 40,573.52
  4. Step 4: Simplify right side
    72,838.52x = 4,078,321,718.36
  5. Step 5: Solve for x
    x = 4,078,321,718.36/72,838.52
  6. Step 6: Final answer
    x = 55,991.28

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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.