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Finding the Fourth Proportional to 162,381.86, 243,793.67 and 91,354.47

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Solution

The fourth proportional to 162,381.86, 243,793.67 and 91,354.47 is: 137,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,381.86 : 243,793.67 = 91,354.47 : x
  2. Step 2: Convert to fraction form
    162,381.86/243,793.67 = 91,354.47/x
  3. Step 3: Cross multiply
    162,381.86x = 243,793.67 × 91,354.47
  4. Step 4: Simplify right side
    162,381.86x = 22,271,642,198.22
  5. Step 5: Solve for x
    x = 22,271,642,198.22/162,381.86
  6. Step 6: Final answer
    x = 137,155.98

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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.