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Finding the Fourth Proportional to 101,268.52, 151,914.90 and 42,144.16

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Solution

The fourth proportional to 101,268.52, 151,914.90 and 42,144.16 is: 63,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,268.52 : 151,914.90 = 42,144.16 : x
  2. Step 2: Convert to fraction form
    101,268.52/151,914.90 = 42,144.16/x
  3. Step 3: Cross multiply
    101,268.52x = 151,914.90 × 42,144.16
  4. Step 4: Simplify right side
    101,268.52x = 6,402,325,851.98
  5. Step 5: Solve for x
    x = 6,402,325,851.98/101,268.52
  6. Step 6: Final answer
    x = 63,221.28

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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.