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Finding the Fourth Proportional to 258,855.67, 357,219.92 and 144,135.69

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Solution

The fourth proportional to 258,855.67, 357,219.92 and 144,135.69 is: 198,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,855.67 : 357,219.92 = 144,135.69 : x
  2. Step 2: Convert to fraction form
    258,855.67/357,219.92 = 144,135.69/x
  3. Step 3: Cross multiply
    258,855.67x = 357,219.92 × 144,135.69
  4. Step 4: Simplify right side
    258,855.67x = 51,488,139,276.50
  5. Step 5: Solve for x
    x = 51,488,139,276.50/258,855.67
  6. Step 6: Final answer
    x = 198,906.75

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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.