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Finding the Fourth Proportional to 258,148.16, 387,160.80 and 71,174.72

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Solution

The fourth proportional to 258,148.16, 387,160.80 and 71,174.72 is: 106,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,148.16 : 387,160.80 = 71,174.72 : x
  2. Step 2: Convert to fraction form
    258,148.16/387,160.80 = 71,174.72/x
  3. Step 3: Cross multiply
    258,148.16x = 387,160.80 × 71,174.72
  4. Step 4: Simplify right side
    258,148.16x = 27,556,061,534.98
  5. Step 5: Solve for x
    x = 27,556,061,534.98/258,148.16
  6. Step 6: Final answer
    x = 106,745.14

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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.