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Finding the Fourth Proportional to 76,415.40, 114,363.90 and 67,084.20

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Solution

The fourth proportional to 76,415.40, 114,363.90 and 67,084.20 is: 100,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415.40 : 114,363.90 = 67,084.20 : x
  2. Step 2: Convert to fraction form
    76,415.40/114,363.90 = 67,084.20/x
  3. Step 3: Cross multiply
    76,415.40x = 114,363.90 × 67,084.20
  4. Step 4: Simplify right side
    76,415.40x = 7,672,010,740.38
  5. Step 5: Solve for x
    x = 7,672,010,740.38/76,415.40
  6. Step 6: Final answer
    x = 100,398.75

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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.