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Finding the Fourth Proportional to 231,321.86, 346,985.19 and 81,534.24

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Solution

The fourth proportional to 231,321.86, 346,985.19 and 81,534.24 is: 122,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,321.86 : 346,985.19 = 81,534.24 : x
  2. Step 2: Convert to fraction form
    231,321.86/346,985.19 = 81,534.24/x
  3. Step 3: Cross multiply
    231,321.86x = 346,985.19 × 81,534.24
  4. Step 4: Simplify right side
    231,321.86x = 28,291,173,757.91
  5. Step 5: Solve for x
    x = 28,291,173,757.91/231,321.86
  6. Step 6: Final answer
    x = 122,302.21

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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.