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Finding the Fourth Proportional to 72,991.24, 109,341.04 and 66,823.90

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Solution

The fourth proportional to 72,991.24, 109,341.04 and 66,823.90 is: 100,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,991.24 : 109,341.04 = 66,823.90 : x
  2. Step 2: Convert to fraction form
    72,991.24/109,341.04 = 66,823.90/x
  3. Step 3: Cross multiply
    72,991.24x = 109,341.04 × 66,823.90
  4. Step 4: Simplify right side
    72,991.24x = 7,306,594,722.86
  5. Step 5: Solve for x
    x = 7,306,594,722.86/72,991.24
  6. Step 6: Final answer
    x = 100,102.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.