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Finding the Fourth Proportional to 72,937.45, 109,408.61 and 20,342.53

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Solution

The fourth proportional to 72,937.45, 109,408.61 and 20,342.53 is: 30,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,937.45 : 109,408.61 = 20,342.53 : x
  2. Step 2: Convert to fraction form
    72,937.45/109,408.61 = 20,342.53/x
  3. Step 3: Cross multiply
    72,937.45x = 109,408.61 × 20,342.53
  4. Step 4: Simplify right side
    72,937.45x = 2,225,647,931.18
  5. Step 5: Solve for x
    x = 2,225,647,931.18/72,937.45
  6. Step 6: Final answer
    x = 30,514.47

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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.