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Finding the Fourth Proportional to 54,000, 74,522.16 and 30,128.76

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Solution

The fourth proportional to 54,000, 74,522.16 and 30,128.76 is: 41,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,000 : 74,522.16 = 30,128.76 : x
  2. Step 2: Convert to fraction form
    54,000/74,522.16 = 30,128.76/x
  3. Step 3: Cross multiply
    54,000x = 74,522.16 × 30,128.76
  4. Step 4: Simplify right side
    54,000x = 2,245,260,273.32
  5. Step 5: Solve for x
    x = 2,245,260,273.32/54,000
  6. Step 6: Final answer
    x = 41,578.89

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1.5x scale

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.