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Finding the Fourth Proportional to 172,408.08, 258,275.87 and 97,301.04

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Solution

The fourth proportional to 172,408.08, 258,275.87 and 97,301.04 is: 145,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,408.08 : 258,275.87 = 97,301.04 : x
  2. Step 2: Convert to fraction form
    172,408.08/258,275.87 = 97,301.04/x
  3. Step 3: Cross multiply
    172,408.08x = 258,275.87 × 97,301.04
  4. Step 4: Simplify right side
    172,408.08x = 25,130,510,032.62
  5. Step 5: Solve for x
    x = 25,130,510,032.62/172,408.08
  6. Step 6: Final answer
    x = 145,761.78

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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.