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Finding the Fourth Proportional to 100,293.41, 138,405.99 and 54,970.42

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Solution

The fourth proportional to 100,293.41, 138,405.99 and 54,970.42 is: 75,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,293.41 : 138,405.99 = 54,970.42 : x
  2. Step 2: Convert to fraction form
    100,293.41/138,405.99 = 54,970.42/x
  3. Step 3: Cross multiply
    100,293.41x = 138,405.99 × 54,970.42
  4. Step 4: Simplify right side
    100,293.41x = 7,608,234,708.79
  5. Step 5: Solve for x
    x = 7,608,234,708.79/100,293.41
  6. Step 6: Final answer
    x = 75,859.77

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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.