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Finding the Fourth Proportional to 51,703.20, 77,569.20 and 25,408.80

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Solution

The fourth proportional to 51,703.20, 77,569.20 and 25,408.80 is: 38,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703.20 : 77,569.20 = 25,408.80 : x
  2. Step 2: Convert to fraction form
    51,703.20/77,569.20 = 25,408.80/x
  3. Step 3: Cross multiply
    51,703.20x = 77,569.20 × 25,408.80
  4. Step 4: Simplify right side
    51,703.20x = 1,970,940,288.96
  5. Step 5: Solve for x
    x = 1,970,940,288.96/51,703.20
  6. Step 6: Final answer
    x = 38,120.28

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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.