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Finding the Fourth Proportional to 98,393.82, 135,822.87 and 64,939.74

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Solution

The fourth proportional to 98,393.82, 135,822.87 and 64,939.74 is: 89,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,393.82 : 135,822.87 = 64,939.74 : x
  2. Step 2: Convert to fraction form
    98,393.82/135,822.87 = 64,939.74/x
  3. Step 3: Cross multiply
    98,393.82x = 135,822.87 × 64,939.74
  4. Step 4: Simplify right side
    98,393.82x = 8,820,301,863.85
  5. Step 5: Solve for x
    x = 8,820,301,863.85/98,393.82
  6. Step 6: Final answer
    x = 89,642.84

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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.