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Finding the Fourth Proportional to 258,255.68, 356,390.70 and 145,076

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Solution

The fourth proportional to 258,255.68, 356,390.70 and 145,076 is: 200,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,255.68 : 356,390.70 = 145,076 : x
  2. Step 2: Convert to fraction form
    258,255.68/356,390.70 = 145,076/x
  3. Step 3: Cross multiply
    258,255.68x = 356,390.70 × 145,076
  4. Step 4: Simplify right side
    258,255.68x = 51,703,737,193.20
  5. Step 5: Solve for x
    x = 51,703,737,193.20/258,255.68
  6. Step 6: Final answer
    x = 200,203.68

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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.