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Finding the Fourth Proportional to 172,147.43, 258,211.13 and 77,353.13

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Solution

The fourth proportional to 172,147.43, 258,211.13 and 77,353.13 is: 116,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,147.43 : 258,211.13 = 77,353.13 : x
  2. Step 2: Convert to fraction form
    172,147.43/258,211.13 = 77,353.13/x
  3. Step 3: Cross multiply
    172,147.43x = 258,211.13 × 77,353.13
  4. Step 4: Simplify right side
    172,147.43x = 19,973,439,365.10
  5. Step 5: Solve for x
    x = 19,973,439,365.10/172,147.43
  6. Step 6: Final answer
    x = 116,025.19

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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.