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Finding the Fourth Proportional to 55,552.80, 76,662.24 and 30,402

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Solution

The fourth proportional to 55,552.80, 76,662.24 and 30,402 is: 41,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,552.80 : 76,662.24 = 30,402 : x
  2. Step 2: Convert to fraction form
    55,552.80/76,662.24 = 30,402/x
  3. Step 3: Cross multiply
    55,552.80x = 76,662.24 × 30,402
  4. Step 4: Simplify right side
    55,552.80x = 2,330,685,420.48
  5. Step 5: Solve for x
    x = 2,330,685,420.48/55,552.80
  6. Step 6: Final answer
    x = 41,954.42

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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.