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Finding the Fourth Proportional to 258,105.60, 387,161.28 and 80,599.68

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Solution

The fourth proportional to 258,105.60, 387,161.28 and 80,599.68 is: 120,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,105.60 : 387,161.28 = 80,599.68 : x
  2. Step 2: Convert to fraction form
    258,105.60/387,161.28 = 80,599.68/x
  3. Step 3: Cross multiply
    258,105.60x = 387,161.28 × 80,599.68
  4. Step 4: Simplify right side
    258,105.60x = 31,205,075,276.39
  5. Step 5: Solve for x
    x = 31,205,075,276.39/258,105.60
  6. Step 6: Final answer
    x = 120,900.42

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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.