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Finding the Fourth Proportional to 231,462.86, 347,207.84 and 89,308.90

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Solution

The fourth proportional to 231,462.86, 347,207.84 and 89,308.90 is: 133,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,462.86 : 347,207.84 = 89,308.90 : x
  2. Step 2: Convert to fraction form
    231,462.86/347,207.84 = 89,308.90/x
  3. Step 3: Cross multiply
    231,462.86x = 347,207.84 × 89,308.90
  4. Step 4: Simplify right side
    231,462.86x = 31,008,748,079.19
  5. Step 5: Solve for x
    x = 31,008,748,079.19/231,462.86
  6. Step 6: Final answer
    x = 133,968.57

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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.