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Finding the Fourth Proportional to 258,899.40, 388,348.54 and 81,421.96

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Solution

The fourth proportional to 258,899.40, 388,348.54 and 81,421.96 is: 122,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,899.40 : 388,348.54 = 81,421.96 : x
  2. Step 2: Convert to fraction form
    258,899.40/388,348.54 = 81,421.96/x
  3. Step 3: Cross multiply
    258,899.40x = 388,348.54 × 81,421.96
  4. Step 4: Simplify right side
    258,899.40x = 31,620,099,289.94
  5. Step 5: Solve for x
    x = 31,620,099,289.94/258,899.40
  6. Step 6: Final answer
    x = 122,132.76

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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.