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Finding the Fourth Proportional to 258,228.53, 387,365.10 and 71,240.03

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Solution

The fourth proportional to 258,228.53, 387,365.10 and 71,240.03 is: 106,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,228.53 : 387,365.10 = 71,240.03 : x
  2. Step 2: Convert to fraction form
    258,228.53/387,365.10 = 71,240.03/x
  3. Step 3: Cross multiply
    258,228.53x = 387,365.10 × 71,240.03
  4. Step 4: Simplify right side
    258,228.53x = 27,595,899,408.13
  5. Step 5: Solve for x
    x = 27,595,899,408.13/258,228.53
  6. Step 6: Final answer
    x = 106,866.19

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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.