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Finding the Fourth Proportional to 72,939, 109,408.53 and 23,024.15

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Solution

The fourth proportional to 72,939, 109,408.53 and 23,024.15 is: 34,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,939 : 109,408.53 = 23,024.15 : x
  2. Step 2: Convert to fraction form
    72,939/109,408.53 = 23,024.15/x
  3. Step 3: Cross multiply
    72,939x = 109,408.53 × 23,024.15
  4. Step 4: Simplify right side
    72,939x = 2,519,038,406.00
  5. Step 5: Solve for x
    x = 2,519,038,406.00/72,939
  6. Step 6: Final answer
    x = 34,536.23

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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.