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Finding the Fourth Proportional to 76,894.92, 115,383.42 and 30,148.20

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Solution

The fourth proportional to 76,894.92, 115,383.42 and 30,148.20 is: 45,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,894.92 : 115,383.42 = 30,148.20 : x
  2. Step 2: Convert to fraction form
    76,894.92/115,383.42 = 30,148.20/x
  3. Step 3: Cross multiply
    76,894.92x = 115,383.42 × 30,148.20
  4. Step 4: Simplify right side
    76,894.92x = 3,478,602,422.84
  5. Step 5: Solve for x
    x = 3,478,602,422.84/76,894.92
  6. Step 6: Final answer
    x = 45,238.39

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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.