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Finding the Fourth Proportional to 55,448.52, 76,518.92 and 30,298

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Solution

The fourth proportional to 55,448.52, 76,518.92 and 30,298 is: 41,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,448.52 : 76,518.92 = 30,298 : x
  2. Step 2: Convert to fraction form
    55,448.52/76,518.92 = 30,298/x
  3. Step 3: Cross multiply
    55,448.52x = 76,518.92 × 30,298
  4. Step 4: Simplify right side
    55,448.52x = 2,318,370,238.16
  5. Step 5: Solve for x
    x = 2,318,370,238.16/55,448.52
  6. Step 6: Final answer
    x = 41,811.22

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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.