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Finding the Fourth Proportional to 172,565.40, 258,848.10 and 165,037.80

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Solution

The fourth proportional to 172,565.40, 258,848.10 and 165,037.80 is: 247,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,565.40 : 258,848.10 = 165,037.80 : x
  2. Step 2: Convert to fraction form
    172,565.40/258,848.10 = 165,037.80/x
  3. Step 3: Cross multiply
    172,565.40x = 258,848.10 × 165,037.80
  4. Step 4: Simplify right side
    172,565.40x = 42,719,720,958.18
  5. Step 5: Solve for x
    x = 42,719,720,958.18/172,565.40
  6. Step 6: Final answer
    x = 247,556.70

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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.