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Finding the Fourth Proportional to 55,254, 76,251.36 and 30,103.50

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Solution

The fourth proportional to 55,254, 76,251.36 and 30,103.50 is: 41,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,254 : 76,251.36 = 30,103.50 : x
  2. Step 2: Convert to fraction form
    55,254/76,251.36 = 30,103.50/x
  3. Step 3: Cross multiply
    55,254x = 76,251.36 × 30,103.50
  4. Step 4: Simplify right side
    55,254x = 2,295,432,815.76
  5. Step 5: Solve for x
    x = 2,295,432,815.76/55,254
  6. Step 6: Final answer
    x = 41,543.29

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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.