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Finding the Fourth Proportional to 76,961.46, 115,280.16 and 39,407.40

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Solution

The fourth proportional to 76,961.46, 115,280.16 and 39,407.40 is: 59,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,961.46 : 115,280.16 = 39,407.40 : x
  2. Step 2: Convert to fraction form
    76,961.46/115,280.16 = 39,407.40/x
  3. Step 3: Cross multiply
    76,961.46x = 115,280.16 × 39,407.40
  4. Step 4: Simplify right side
    76,961.46x = 4,542,891,377.18
  5. Step 5: Solve for x
    x = 4,542,891,377.18/76,961.46
  6. Step 6: Final answer
    x = 59,028.13

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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.