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Finding the Fourth Proportional to 53,229.76, 73,454.58 and 30,553

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Solution

The fourth proportional to 53,229.76, 73,454.58 and 30,553 is: 42,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,229.76 : 73,454.58 = 30,553 : x
  2. Step 2: Convert to fraction form
    53,229.76/73,454.58 = 30,553/x
  3. Step 3: Cross multiply
    53,229.76x = 73,454.58 × 30,553
  4. Step 4: Simplify right side
    53,229.76x = 2,244,257,782.74
  5. Step 5: Solve for x
    x = 2,244,257,782.74/53,229.76
  6. Step 6: Final answer
    x = 42,161.71

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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.