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Finding the Fourth Proportional to 98,424, 135,832.42 and 55,996.20

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Solution

The fourth proportional to 98,424, 135,832.42 and 55,996.20 is: 77,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,424 : 135,832.42 = 55,996.20 : x
  2. Step 2: Convert to fraction form
    98,424/135,832.42 = 55,996.20/x
  3. Step 3: Cross multiply
    98,424x = 135,832.42 × 55,996.20
  4. Step 4: Simplify right side
    98,424x = 7,606,099,356.80
  5. Step 5: Solve for x
    x = 7,606,099,356.80/98,424
  6. Step 6: Final answer
    x = 77,278.91

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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.