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Finding the Fourth Proportional to 72,691.40, 109,051.74 and 25,943.06

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Solution

The fourth proportional to 72,691.40, 109,051.74 and 25,943.06 is: 38,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,691.40 : 109,051.74 = 25,943.06 : x
  2. Step 2: Convert to fraction form
    72,691.40/109,051.74 = 25,943.06/x
  3. Step 3: Cross multiply
    72,691.40x = 109,051.74 × 25,943.06
  4. Step 4: Simplify right side
    72,691.40x = 2,829,135,288.67
  5. Step 5: Solve for x
    x = 2,829,135,288.67/72,691.40
  6. Step 6: Final answer
    x = 38,919.81

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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.