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Finding the Fourth Proportional to 135,648, 187,194.24 and 76,032

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Solution

The fourth proportional to 135,648, 187,194.24 and 76,032 is: 104,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648 : 187,194.24 = 76,032 : x
  2. Step 2: Convert to fraction form
    135,648/187,194.24 = 76,032/x
  3. Step 3: Cross multiply
    135,648x = 187,194.24 × 76,032
  4. Step 4: Simplify right side
    135,648x = 14,232,752,455.68
  5. Step 5: Solve for x
    x = 14,232,752,455.68/135,648
  6. Step 6: Final answer
    x = 104,924.16

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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.