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Finding the Fourth Proportional to 73,138.41, 100,931 and 39,604.41

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Solution

The fourth proportional to 73,138.41, 100,931 and 39,604.41 is: 54,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,138.41 : 100,931 = 39,604.41 : x
  2. Step 2: Convert to fraction form
    73,138.41/100,931 = 39,604.41/x
  3. Step 3: Cross multiply
    73,138.41x = 100,931 × 39,604.41
  4. Step 4: Simplify right side
    73,138.41x = 3,997,312,705.71
  5. Step 5: Solve for x
    x = 3,997,312,705.71/73,138.41
  6. Step 6: Final answer
    x = 54,654.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.