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Finding the Fourth Proportional to 76,162.60, 114,276.30 and 36,699.40

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Solution

The fourth proportional to 76,162.60, 114,276.30 and 36,699.40 is: 55,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,162.60 : 114,276.30 = 36,699.40 : x
  2. Step 2: Convert to fraction form
    76,162.60/114,276.30 = 36,699.40/x
  3. Step 3: Cross multiply
    76,162.60x = 114,276.30 × 36,699.40
  4. Step 4: Simplify right side
    76,162.60x = 4,193,871,644.22
  5. Step 5: Solve for x
    x = 4,193,871,644.22/76,162.60
  6. Step 6: Final answer
    x = 55,064.71

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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.