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Finding the Fourth Proportional to 61,752, 85,229.28 and 35,256

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Solution

The fourth proportional to 61,752, 85,229.28 and 35,256 is: 48,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,752 : 85,229.28 = 35,256 : x
  2. Step 2: Convert to fraction form
    61,752/85,229.28 = 35,256/x
  3. Step 3: Cross multiply
    61,752x = 85,229.28 × 35,256
  4. Step 4: Simplify right side
    61,752x = 3,004,843,495.68
  5. Step 5: Solve for x
    x = 3,004,843,495.68/61,752
  6. Step 6: Final answer
    x = 48,659.86

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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.