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Finding the Fourth Proportional to 86,650.60, 129,984.54 and 31,233.64

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Solution

The fourth proportional to 86,650.60, 129,984.54 and 31,233.64 is: 46,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,650.60 : 129,984.54 = 31,233.64 : x
  2. Step 2: Convert to fraction form
    86,650.60/129,984.54 = 31,233.64/x
  3. Step 3: Cross multiply
    86,650.60x = 129,984.54 × 31,233.64
  4. Step 4: Simplify right side
    86,650.60x = 4,059,890,327.93
  5. Step 5: Solve for x
    x = 4,059,890,327.93/86,650.60
  6. Step 6: Final answer
    x = 46,853.57

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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.