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Finding the Fourth Proportional to 76,785.68, 115,188.22 and 30,032.48

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Solution

The fourth proportional to 76,785.68, 115,188.22 and 30,032.48 is: 45,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,785.68 : 115,188.22 = 30,032.48 : x
  2. Step 2: Convert to fraction form
    76,785.68/115,188.22 = 30,032.48/x
  3. Step 3: Cross multiply
    76,785.68x = 115,188.22 × 30,032.48
  4. Step 4: Simplify right side
    76,785.68x = 3,459,387,913.39
  5. Step 5: Solve for x
    x = 3,459,387,913.39/76,785.68
  6. Step 6: Final answer
    x = 45,052.51

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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.