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Finding the Fourth Proportional to 75,780.79, 113,649.22 and 25,859.77

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Solution

The fourth proportional to 75,780.79, 113,649.22 and 25,859.77 is: 38,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,780.79 : 113,649.22 = 25,859.77 : x
  2. Step 2: Convert to fraction form
    75,780.79/113,649.22 = 25,859.77/x
  3. Step 3: Cross multiply
    75,780.79x = 113,649.22 × 25,859.77
  4. Step 4: Simplify right side
    75,780.79x = 2,938,942,689.88
  5. Step 5: Solve for x
    x = 2,938,942,689.88/75,780.79
  6. Step 6: Final answer
    x = 38,782.16

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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.