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Finding the Fourth Proportional to 70,494.40, 105,928.80 and 38,929.60

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Solution

The fourth proportional to 70,494.40, 105,928.80 and 38,929.60 is: 58,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494.40 : 105,928.80 = 38,929.60 : x
  2. Step 2: Convert to fraction form
    70,494.40/105,928.80 = 38,929.60/x
  3. Step 3: Cross multiply
    70,494.40x = 105,928.80 × 38,929.60
  4. Step 4: Simplify right side
    70,494.40x = 4,123,765,812.48
  5. Step 5: Solve for x
    x = 4,123,765,812.48/70,494.40
  6. Step 6: Final answer
    x = 58,497.78

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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.