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Finding the Fourth Proportional to 172,080, 258,129.72 and 61,272

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Solution

The fourth proportional to 172,080, 258,129.72 and 61,272 is: 91,911.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,080 : 258,129.72 = 61,272 : x
  2. Step 2: Convert to fraction form
    172,080/258,129.72 = 61,272/x
  3. Step 3: Cross multiply
    172,080x = 258,129.72 × 61,272
  4. Step 4: Simplify right side
    172,080x = 15,816,124,203.84
  5. Step 5: Solve for x
    x = 15,816,124,203.84/172,080
  6. Step 6: Final answer
    x = 91,911.46

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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.