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Finding the Fourth Proportional to 72,991.96, 100,756.22 and 56,827.24

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Solution

The fourth proportional to 72,991.96, 100,756.22 and 56,827.24 is: 78,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,991.96 : 100,756.22 = 56,827.24 : x
  2. Step 2: Convert to fraction form
    72,991.96/100,756.22 = 56,827.24/x
  3. Step 3: Cross multiply
    72,991.96x = 100,756.22 × 56,827.24
  4. Step 4: Simplify right side
    72,991.96x = 5,725,697,895.43
  5. Step 5: Solve for x
    x = 5,725,697,895.43/72,991.96
  6. Step 6: Final answer
    x = 78,442.86

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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.