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Finding the Fourth Proportional to 101,997.64, 153,042 and 52,051.44

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Solution

The fourth proportional to 101,997.64, 153,042 and 52,051.44 is: 78,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,997.64 : 153,042 = 52,051.44 : x
  2. Step 2: Convert to fraction form
    101,997.64/153,042 = 52,051.44/x
  3. Step 3: Cross multiply
    101,997.64x = 153,042 × 52,051.44
  4. Step 4: Simplify right side
    101,997.64x = 7,966,056,480.48
  5. Step 5: Solve for x
    x = 7,966,056,480.48/101,997.64
  6. Step 6: Final answer
    x = 78,100.40

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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.