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Finding the Fourth Proportional to 206,053.86, 309,023.66 and 72,916.58

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Solution

The fourth proportional to 206,053.86, 309,023.66 and 72,916.58 is: 109,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,053.86 : 309,023.66 = 72,916.58 : x
  2. Step 2: Convert to fraction form
    206,053.86/309,023.66 = 72,916.58/x
  3. Step 3: Cross multiply
    206,053.86x = 309,023.66 × 72,916.58
  4. Step 4: Simplify right side
    206,053.86x = 22,532,948,426.28
  5. Step 5: Solve for x
    x = 22,532,948,426.28/206,053.86
  6. Step 6: Final answer
    x = 109,354.65

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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.