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Finding the Fourth Proportional to 101,056.71, 139,471.22 and 84,031.68

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Solution

The fourth proportional to 101,056.71, 139,471.22 and 84,031.68 is: 115,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,056.71 : 139,471.22 = 84,031.68 : x
  2. Step 2: Convert to fraction form
    101,056.71/139,471.22 = 84,031.68/x
  3. Step 3: Cross multiply
    101,056.71x = 139,471.22 × 84,031.68
  4. Step 4: Simplify right side
    101,056.71x = 11,720,000,404.14
  5. Step 5: Solve for x
    x = 11,720,000,404.14/101,056.71
  6. Step 6: Final answer
    x = 115,974.49

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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.