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Finding the Fourth Proportional to 258,254.79, 387,514.85 and 106,563.93

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Solution

The fourth proportional to 258,254.79, 387,514.85 and 106,563.93 is: 159,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,254.79 : 387,514.85 = 106,563.93 : x
  2. Step 2: Convert to fraction form
    258,254.79/387,514.85 = 106,563.93/x
  3. Step 3: Cross multiply
    258,254.79x = 387,514.85 × 106,563.93
  4. Step 4: Simplify right side
    258,254.79x = 41,295,104,816.54
  5. Step 5: Solve for x
    x = 41,295,104,816.54/258,254.79
  6. Step 6: Final answer
    x = 159,900.63

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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.