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Finding the Fourth Proportional to 121,414.90, 182,121.93 and 56,492.86

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Solution

The fourth proportional to 121,414.90, 182,121.93 and 56,492.86 is: 84,739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,414.90 : 182,121.93 = 56,492.86 : x
  2. Step 2: Convert to fraction form
    121,414.90/182,121.93 = 56,492.86/x
  3. Step 3: Cross multiply
    121,414.90x = 182,121.93 × 56,492.86
  4. Step 4: Simplify right side
    121,414.90x = 10,288,588,694.42
  5. Step 5: Solve for x
    x = 10,288,588,694.42/121,414.90
  6. Step 6: Final answer
    x = 84,739.09

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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.