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Finding the Fourth Proportional to 100,168.71, 138,232.80 and 54,846.68

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Solution

The fourth proportional to 100,168.71, 138,232.80 and 54,846.68 is: 75,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,168.71 : 138,232.80 = 54,846.68 : x
  2. Step 2: Convert to fraction form
    100,168.71/138,232.80 = 54,846.68/x
  3. Step 3: Cross multiply
    100,168.71x = 138,232.80 × 54,846.68
  4. Step 4: Simplify right side
    100,168.71x = 7,581,610,665.48
  5. Step 5: Solve for x
    x = 7,581,610,665.48/100,168.71
  6. Step 6: Final answer
    x = 75,688.41

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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.