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Finding the Fourth Proportional to 70,364.57, 105,546.17 and 30,411.81

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Solution

The fourth proportional to 70,364.57, 105,546.17 and 30,411.81 is: 45,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,364.57 : 105,546.17 = 30,411.81 : x
  2. Step 2: Convert to fraction form
    70,364.57/105,546.17 = 30,411.81/x
  3. Step 3: Cross multiply
    70,364.57x = 105,546.17 × 30,411.81
  4. Step 4: Simplify right side
    70,364.57x = 3,209,850,144.30
  5. Step 5: Solve for x
    x = 3,209,850,144.30/70,364.57
  6. Step 6: Final answer
    x = 45,617.42

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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.