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Finding the Fourth Proportional to 72,507.68, 100,105.40 and 48,342.64

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Solution

The fourth proportional to 72,507.68, 100,105.40 and 48,342.64 is: 66,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,507.68 : 100,105.40 = 48,342.64 : x
  2. Step 2: Convert to fraction form
    72,507.68/100,105.40 = 48,342.64/x
  3. Step 3: Cross multiply
    72,507.68x = 100,105.40 × 48,342.64
  4. Step 4: Simplify right side
    72,507.68x = 4,839,359,314.26
  5. Step 5: Solve for x
    x = 4,839,359,314.26/72,507.68
  6. Step 6: Final answer
    x = 66,742.71

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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.