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Finding the Fourth Proportional to 55,156.68, 76,115.88 and 30,006

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Solution

The fourth proportional to 55,156.68, 76,115.88 and 30,006 is: 41,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,156.68 : 76,115.88 = 30,006 : x
  2. Step 2: Convert to fraction form
    55,156.68/76,115.88 = 30,006/x
  3. Step 3: Cross multiply
    55,156.68x = 76,115.88 × 30,006
  4. Step 4: Simplify right side
    55,156.68x = 2,283,933,095.28
  5. Step 5: Solve for x
    x = 2,283,933,095.28/55,156.68
  6. Step 6: Final answer
    x = 41,408.10

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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.