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Finding the Fourth Proportional to 73,968.72, 102,079.44 and 42,142.56

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Solution

The fourth proportional to 73,968.72, 102,079.44 and 42,142.56 is: 58,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,968.72 : 102,079.44 = 42,142.56 : x
  2. Step 2: Convert to fraction form
    73,968.72/102,079.44 = 42,142.56/x
  3. Step 3: Cross multiply
    73,968.72x = 102,079.44 × 42,142.56
  4. Step 4: Simplify right side
    73,968.72x = 4,301,888,924.97
  5. Step 5: Solve for x
    x = 4,301,888,924.97/73,968.72
  6. Step 6: Final answer
    x = 58,158.22

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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.