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Finding the Fourth Proportional to 258,399.84, 387,621.90 and 71,411.34

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Solution

The fourth proportional to 258,399.84, 387,621.90 and 71,411.34 is: 107,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,399.84 : 387,621.90 = 71,411.34 : x
  2. Step 2: Convert to fraction form
    258,399.84/387,621.90 = 71,411.34/x
  3. Step 3: Cross multiply
    258,399.84x = 387,621.90 × 71,411.34
  4. Step 4: Simplify right side
    258,399.84x = 27,680,599,292.35
  5. Step 5: Solve for x
    x = 27,680,599,292.35/258,399.84
  6. Step 6: Final answer
    x = 107,123.13

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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.