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Finding the Fourth Proportional to 253,743.75, 380,621.79 and 85,266.51

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Solution

The fourth proportional to 253,743.75, 380,621.79 and 85,266.51 is: 127,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,743.75 : 380,621.79 = 85,266.51 : x
  2. Step 2: Convert to fraction form
    253,743.75/380,621.79 = 85,266.51/x
  3. Step 3: Cross multiply
    253,743.75x = 380,621.79 × 85,266.51
  4. Step 4: Simplify right side
    253,743.75x = 32,454,291,663.25
  5. Step 5: Solve for x
    x = 32,454,291,663.25/253,743.75
  6. Step 6: Final answer
    x = 127,901.84

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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.