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Finding the Fourth Proportional to 55,340.68, 76,369.98 and 30,190

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Solution

The fourth proportional to 55,340.68, 76,369.98 and 30,190 is: 41,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,340.68 : 76,369.98 = 30,190 : x
  2. Step 2: Convert to fraction form
    55,340.68/76,369.98 = 30,190/x
  3. Step 3: Cross multiply
    55,340.68x = 76,369.98 × 30,190
  4. Step 4: Simplify right side
    55,340.68x = 2,305,609,696.20
  5. Step 5: Solve for x
    x = 2,305,609,696.20/55,340.68
  6. Step 6: Final answer
    x = 41,662.11

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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.