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Finding the Fourth Proportional to 72,881.30, 109,275.15 and 30,749.86

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Solution

The fourth proportional to 72,881.30, 109,275.15 and 30,749.86 is: 46,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,881.30 : 109,275.15 = 30,749.86 : x
  2. Step 2: Convert to fraction form
    72,881.30/109,275.15 = 30,749.86/x
  3. Step 3: Cross multiply
    72,881.30x = 109,275.15 × 30,749.86
  4. Step 4: Simplify right side
    72,881.30x = 3,360,195,290.79
  5. Step 5: Solve for x
    x = 3,360,195,290.79/72,881.30
  6. Step 6: Final answer
    x = 46,105.04

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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.