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Finding the Fourth Proportional to 172,458.27, 258,751.53 and 77,659.92

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Solution

The fourth proportional to 172,458.27, 258,751.53 and 77,659.92 is: 116,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,458.27 : 258,751.53 = 77,659.92 : x
  2. Step 2: Convert to fraction form
    172,458.27/258,751.53 = 77,659.92/x
  3. Step 3: Cross multiply
    172,458.27x = 258,751.53 × 77,659.92
  4. Step 4: Simplify right side
    172,458.27x = 20,094,623,119.68
  5. Step 5: Solve for x
    x = 20,094,623,119.68/172,458.27
  6. Step 6: Final answer
    x = 116,518.76

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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.