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Finding the Fourth Proportional to 258,019.68, 387,073.32 and 80,522.76

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Solution

The fourth proportional to 258,019.68, 387,073.32 and 80,522.76 is: 120,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,019.68 : 387,073.32 = 80,522.76 : x
  2. Step 2: Convert to fraction form
    258,019.68/387,073.32 = 80,522.76/x
  3. Step 3: Cross multiply
    258,019.68x = 387,073.32 × 80,522.76
  4. Step 4: Simplify right side
    258,019.68x = 31,168,212,048.76
  5. Step 5: Solve for x
    x = 31,168,212,048.76/258,019.68
  6. Step 6: Final answer
    x = 120,797.81

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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.