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Finding the Fourth Proportional to 100,100.68, 138,138.95 and 54,778.66

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Solution

The fourth proportional to 100,100.68, 138,138.95 and 54,778.66 is: 75,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,100.68 : 138,138.95 = 54,778.66 : x
  2. Step 2: Convert to fraction form
    100,100.68/138,138.95 = 54,778.66/x
  3. Step 3: Cross multiply
    100,100.68x = 138,138.95 × 54,778.66
  4. Step 4: Simplify right side
    100,100.68x = 7,567,066,574.81
  5. Step 5: Solve for x
    x = 7,567,066,574.81/100,100.68
  6. Step 6: Final answer
    x = 75,594.56

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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.