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Finding the Fourth Proportional to 55,154.50, 76,113.39 and 30,004

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Solution

The fourth proportional to 55,154.50, 76,113.39 and 30,004 is: 41,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,154.50 : 76,113.39 = 30,004 : x
  2. Step 2: Convert to fraction form
    55,154.50/76,113.39 = 30,004/x
  3. Step 3: Cross multiply
    55,154.50x = 76,113.39 × 30,004
  4. Step 4: Simplify right side
    55,154.50x = 2,283,706,153.56
  5. Step 5: Solve for x
    x = 2,283,706,153.56/55,154.50
  6. Step 6: Final answer
    x = 41,405.62

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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.