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Finding the Fourth Proportional to 76,893.28, 115,300.42 and 34,750.53

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Solution

The fourth proportional to 76,893.28, 115,300.42 and 34,750.53 is: 52,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,893.28 : 115,300.42 = 34,750.53 : x
  2. Step 2: Convert to fraction form
    76,893.28/115,300.42 = 34,750.53/x
  3. Step 3: Cross multiply
    76,893.28x = 115,300.42 × 34,750.53
  4. Step 4: Simplify right side
    76,893.28x = 4,006,750,617.35
  5. Step 5: Solve for x
    x = 4,006,750,617.35/76,893.28
  6. Step 6: Final answer
    x = 52,107.94

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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.