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Finding the Fourth Proportional to 70,122.70, 105,184.86 and 40,522.60

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Solution

The fourth proportional to 70,122.70, 105,184.86 and 40,522.60 is: 60,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,122.70 : 105,184.86 = 40,522.60 : x
  2. Step 2: Convert to fraction form
    70,122.70/105,184.86 = 40,522.60/x
  3. Step 3: Cross multiply
    70,122.70x = 105,184.86 × 40,522.60
  4. Step 4: Simplify right side
    70,122.70x = 4,262,364,007.84
  5. Step 5: Solve for x
    x = 4,262,364,007.84/70,122.70
  6. Step 6: Final answer
    x = 60,784.37

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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.