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Finding the Fourth Proportional to 76,876.76, 115,230.90 and 30,078.20

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Solution

The fourth proportional to 76,876.76, 115,230.90 and 30,078.20 is: 45,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,876.76 : 115,230.90 = 30,078.20 : x
  2. Step 2: Convert to fraction form
    76,876.76/115,230.90 = 30,078.20/x
  3. Step 3: Cross multiply
    76,876.76x = 115,230.90 × 30,078.20
  4. Step 4: Simplify right side
    76,876.76x = 3,465,938,056.38
  5. Step 5: Solve for x
    x = 3,465,938,056.38/76,876.76
  6. Step 6: Final answer
    x = 45,084.34

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1.5x scale

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.