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Finding the Fourth Proportional to 30,076.98, 45,117.81 and 12,551.82

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Solution

The fourth proportional to 30,076.98, 45,117.81 and 12,551.82 is: 18,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076.98 : 45,117.81 = 12,551.82 : x
  2. Step 2: Convert to fraction form
    30,076.98/45,117.81 = 12,551.82/x
  3. Step 3: Cross multiply
    30,076.98x = 45,117.81 × 12,551.82
  4. Step 4: Simplify right side
    30,076.98x = 566,310,629.91
  5. Step 5: Solve for x
    x = 566,310,629.91/30,076.98
  6. Step 6: Final answer
    x = 18,828.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.