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Finding the Fourth Proportional to 258,897.96, 388,363.68 and 81,411.84

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Solution

The fourth proportional to 258,897.96, 388,363.68 and 81,411.84 is: 122,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,897.96 : 388,363.68 = 81,411.84 : x
  2. Step 2: Convert to fraction form
    258,897.96/388,363.68 = 81,411.84/x
  3. Step 3: Cross multiply
    258,897.96x = 388,363.68 × 81,411.84
  4. Step 4: Simplify right side
    258,897.96x = 31,617,401,777.97
  5. Step 5: Solve for x
    x = 31,617,401,777.97/258,897.96
  6. Step 6: Final answer
    x = 122,123.02

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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.