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Finding the Fourth Proportional to 72,583.76, 100,164.84 and 40,751.92

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Solution

The fourth proportional to 72,583.76, 100,164.84 and 40,751.92 is: 56,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,583.76 : 100,164.84 = 40,751.92 : x
  2. Step 2: Convert to fraction form
    72,583.76/100,164.84 = 40,751.92/x
  3. Step 3: Cross multiply
    72,583.76x = 100,164.84 × 40,751.92
  4. Step 4: Simplify right side
    72,583.76x = 4,081,909,546.49
  5. Step 5: Solve for x
    x = 4,081,909,546.49/72,583.76
  6. Step 6: Final answer
    x = 56,237.23

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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.