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Finding the Fourth Proportional to 258,439.85, 387,659.78 and 118,100.06

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Solution

The fourth proportional to 258,439.85, 387,659.78 and 118,100.06 is: 177,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,439.85 : 387,659.78 = 118,100.06 : x
  2. Step 2: Convert to fraction form
    258,439.85/387,659.78 = 118,100.06/x
  3. Step 3: Cross multiply
    258,439.85x = 387,659.78 × 118,100.06
  4. Step 4: Simplify right side
    258,439.85x = 45,782,644,541.99
  5. Step 5: Solve for x
    x = 45,782,644,541.99/258,439.85
  6. Step 6: Final answer
    x = 177,150.10

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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.