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Finding the Fourth Proportional to 70,989.38, 106,427.86 and 35,432.40

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Solution

The fourth proportional to 70,989.38, 106,427.86 and 35,432.40 is: 53,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,989.38 : 106,427.86 = 35,432.40 : x
  2. Step 2: Convert to fraction form
    70,989.38/106,427.86 = 35,432.40/x
  3. Step 3: Cross multiply
    70,989.38x = 106,427.86 × 35,432.40
  4. Step 4: Simplify right side
    70,989.38x = 3,770,994,817.19
  5. Step 5: Solve for x
    x = 3,770,994,817.19/70,989.38
  6. Step 6: Final answer
    x = 53,120.55

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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.