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Finding the Fourth Proportional to 258,166.89, 387,158.70 and 75,746.78

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Solution

The fourth proportional to 258,166.89, 387,158.70 and 75,746.78 is: 113,593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,166.89 : 387,158.70 = 75,746.78 : x
  2. Step 2: Convert to fraction form
    258,166.89/387,158.70 = 75,746.78/x
  3. Step 3: Cross multiply
    258,166.89x = 387,158.70 × 75,746.78
  4. Step 4: Simplify right side
    258,166.89x = 29,326,024,105.99
  5. Step 5: Solve for x
    x = 29,326,024,105.99/258,166.89
  6. Step 6: Final answer
    x = 113,593.28

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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.