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Finding the Fourth Proportional to 107,321.40, 161,111.70 and 106,543.80

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Solution

The fourth proportional to 107,321.40, 161,111.70 and 106,543.80 is: 159,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,321.40 : 161,111.70 = 106,543.80 : x
  2. Step 2: Convert to fraction form
    107,321.40/161,111.70 = 106,543.80/x
  3. Step 3: Cross multiply
    107,321.40x = 161,111.70 × 106,543.80
  4. Step 4: Simplify right side
    107,321.40x = 17,165,452,742.46
  5. Step 5: Solve for x
    x = 17,165,452,742.46/107,321.40
  6. Step 6: Final answer
    x = 159,944.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.