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Finding the Fourth Proportional to 70,854.60, 106,293.36 and 20,939.70

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Solution

The fourth proportional to 70,854.60, 106,293.36 and 20,939.70 is: 31,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,854.60 : 106,293.36 = 20,939.70 : x
  2. Step 2: Convert to fraction form
    70,854.60/106,293.36 = 20,939.70/x
  3. Step 3: Cross multiply
    70,854.60x = 106,293.36 × 20,939.70
  4. Step 4: Simplify right side
    70,854.60x = 2,225,751,070.39
  5. Step 5: Solve for x
    x = 2,225,751,070.39/70,854.60
  6. Step 6: Final answer
    x = 31,412.94

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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.