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Finding the Fourth Proportional to 258,106.56, 356,187.36 and 144,929.52

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Solution

The fourth proportional to 258,106.56, 356,187.36 and 144,929.52 is: 200,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,106.56 : 356,187.36 = 144,929.52 : x
  2. Step 2: Convert to fraction form
    258,106.56/356,187.36 = 144,929.52/x
  3. Step 3: Cross multiply
    258,106.56x = 356,187.36 × 144,929.52
  4. Step 4: Simplify right side
    258,106.56x = 51,622,063,114.87
  5. Step 5: Solve for x
    x = 51,622,063,114.87/258,106.56
  6. Step 6: Final answer
    x = 200,002.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.