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Finding the Fourth Proportional to 72,707.20, 109,077.12 and 25,960

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Solution

The fourth proportional to 72,707.20, 109,077.12 and 25,960 is: 38,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,707.20 : 109,077.12 = 25,960 : x
  2. Step 2: Convert to fraction form
    72,707.20/109,077.12 = 25,960/x
  3. Step 3: Cross multiply
    72,707.20x = 109,077.12 × 25,960
  4. Step 4: Simplify right side
    72,707.20x = 2,831,642,035.20
  5. Step 5: Solve for x
    x = 2,831,642,035.20/72,707.20
  6. Step 6: Final answer
    x = 38,945.83

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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.