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Finding the Fourth Proportional to 100,189.17, 137,982.29 and 77,444.37

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Solution

The fourth proportional to 100,189.17, 137,982.29 and 77,444.37 is: 106,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,189.17 : 137,982.29 = 77,444.37 : x
  2. Step 2: Convert to fraction form
    100,189.17/137,982.29 = 77,444.37/x
  3. Step 3: Cross multiply
    100,189.17x = 137,982.29 × 77,444.37
  4. Step 4: Simplify right side
    100,189.17x = 10,685,951,132.99
  5. Step 5: Solve for x
    x = 10,685,951,132.99/100,189.17
  6. Step 6: Final answer
    x = 106,657.75

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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.