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Finding the Fourth Proportional to 172,031.29, 258,046.97 and 53,712.77

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Solution

The fourth proportional to 172,031.29, 258,046.97 and 53,712.77 is: 80,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,031.29 : 258,046.97 = 53,712.77 : x
  2. Step 2: Convert to fraction form
    172,031.29/258,046.97 = 53,712.77/x
  3. Step 3: Cross multiply
    172,031.29x = 258,046.97 × 53,712.77
  4. Step 4: Simplify right side
    172,031.29x = 13,860,417,441.52
  5. Step 5: Solve for x
    x = 13,860,417,441.52/172,031.29
  6. Step 6: Final answer
    x = 80,569.16

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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.