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Finding the Fourth Proportional to 114,531.20, 171,801.12 and 31,431.68

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Solution

The fourth proportional to 114,531.20, 171,801.12 and 31,431.68 is: 47,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,531.20 : 171,801.12 = 31,431.68 : x
  2. Step 2: Convert to fraction form
    114,531.20/171,801.12 = 31,431.68/x
  3. Step 3: Cross multiply
    114,531.20x = 171,801.12 × 31,431.68
  4. Step 4: Simplify right side
    114,531.20x = 5,399,997,827.48
  5. Step 5: Solve for x
    x = 5,399,997,827.48/114,531.20
  6. Step 6: Final answer
    x = 47,148.71

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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.