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Finding the Fourth Proportional to 172,265.86, 258,398.81 and 53,946.43

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Solution

The fourth proportional to 172,265.86, 258,398.81 and 53,946.43 is: 80,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,265.86 : 258,398.81 = 53,946.43 : x
  2. Step 2: Convert to fraction form
    172,265.86/258,398.81 = 53,946.43/x
  3. Step 3: Cross multiply
    172,265.86x = 258,398.81 × 53,946.43
  4. Step 4: Simplify right side
    172,265.86x = 13,939,693,315.75
  5. Step 5: Solve for x
    x = 13,939,693,315.75/172,265.86
  6. Step 6: Final answer
    x = 80,919.65

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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.