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Finding the Fourth Proportional to 100,390.58, 138,543.34 and 60,096.54

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Solution

The fourth proportional to 100,390.58, 138,543.34 and 60,096.54 is: 82,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,390.58 : 138,543.34 = 60,096.54 : x
  2. Step 2: Convert to fraction form
    100,390.58/138,543.34 = 60,096.54/x
  3. Step 3: Cross multiply
    100,390.58x = 138,543.34 × 60,096.54
  4. Step 4: Simplify right side
    100,390.58x = 8,325,975,374.04
  5. Step 5: Solve for x
    x = 8,325,975,374.04/100,390.58
  6. Step 6: Final answer
    x = 82,935.82

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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.