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Finding the Fourth Proportional to 70,164.90, 105,282.90 and 30,722.40

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Solution

The fourth proportional to 70,164.90, 105,282.90 and 30,722.40 is: 46,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,164.90 : 105,282.90 = 30,722.40 : x
  2. Step 2: Convert to fraction form
    70,164.90/105,282.90 = 30,722.40/x
  3. Step 3: Cross multiply
    70,164.90x = 105,282.90 × 30,722.40
  4. Step 4: Simplify right side
    70,164.90x = 3,234,543,366.96
  5. Step 5: Solve for x
    x = 3,234,543,366.96/70,164.90
  6. Step 6: Final answer
    x = 46,099.17

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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.