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Finding the Fourth Proportional to 258,909.82, 388,381.47 and 81,423.70

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Solution

The fourth proportional to 258,909.82, 388,381.47 and 81,423.70 is: 122,140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,909.82 : 388,381.47 = 81,423.70 : x
  2. Step 2: Convert to fraction form
    258,909.82/388,381.47 = 81,423.70/x
  3. Step 3: Cross multiply
    258,909.82x = 388,381.47 × 81,423.70
  4. Step 4: Simplify right side
    258,909.82x = 31,623,456,298.84
  5. Step 5: Solve for x
    x = 31,623,456,298.84/258,909.82
  6. Step 6: Final answer
    x = 122,140.81

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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.