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Finding the Fourth Proportional to 172,720.86, 258,970.01 and 72,854.34

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Solution

The fourth proportional to 172,720.86, 258,970.01 and 72,854.34 is: 109,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,720.86 : 258,970.01 = 72,854.34 : x
  2. Step 2: Convert to fraction form
    172,720.86/258,970.01 = 72,854.34/x
  3. Step 3: Cross multiply
    172,720.86x = 258,970.01 × 72,854.34
  4. Step 4: Simplify right side
    172,720.86x = 18,867,088,794.07
  5. Step 5: Solve for x
    x = 18,867,088,794.07/172,720.86
  6. Step 6: Final answer
    x = 109,234.57

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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.