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Finding the Fourth Proportional to 258,673.83, 356,981.54 and 145,496.58

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Solution

The fourth proportional to 258,673.83, 356,981.54 and 145,496.58 is: 200,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,673.83 : 356,981.54 = 145,496.58 : x
  2. Step 2: Convert to fraction form
    258,673.83/356,981.54 = 145,496.58/x
  3. Step 3: Cross multiply
    258,673.83x = 356,981.54 × 145,496.58
  4. Step 4: Simplify right side
    258,673.83x = 51,939,593,193.13
  5. Step 5: Solve for x
    x = 51,939,593,193.13/258,673.83
  6. Step 6: Final answer
    x = 200,791.84

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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.