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Finding the Fourth Proportional to 98,105.58, 135,411.75 and 60,411.42

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Solution

The fourth proportional to 98,105.58, 135,411.75 and 60,411.42 is: 83,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,105.58 : 135,411.75 = 60,411.42 : x
  2. Step 2: Convert to fraction form
    98,105.58/135,411.75 = 60,411.42/x
  3. Step 3: Cross multiply
    98,105.58x = 135,411.75 × 60,411.42
  4. Step 4: Simplify right side
    98,105.58x = 8,180,416,102.19
  5. Step 5: Solve for x
    x = 8,180,416,102.19/98,105.58
  6. Step 6: Final answer
    x = 83,383.80

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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.