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Finding the Fourth Proportional to 72,137.76, 99,543 and 40,305.96

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Solution

The fourth proportional to 72,137.76, 99,543 and 40,305.96 is: 55,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,137.76 : 99,543 = 40,305.96 : x
  2. Step 2: Convert to fraction form
    72,137.76/99,543 = 40,305.96/x
  3. Step 3: Cross multiply
    72,137.76x = 99,543 × 40,305.96
  4. Step 4: Simplify right side
    72,137.76x = 4,012,176,176.28
  5. Step 5: Solve for x
    x = 4,012,176,176.28/72,137.76
  6. Step 6: Final answer
    x = 55,618.25

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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.