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Finding the Fourth Proportional to 253,656.87, 380,543.62 and 76,167.24

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Solution

The fourth proportional to 253,656.87, 380,543.62 and 76,167.24 is: 114,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,656.87 : 380,543.62 = 76,167.24 : x
  2. Step 2: Convert to fraction form
    253,656.87/380,543.62 = 76,167.24/x
  3. Step 3: Cross multiply
    253,656.87x = 380,543.62 × 76,167.24
  4. Step 4: Simplify right side
    253,656.87x = 28,984,955,760.37
  5. Step 5: Solve for x
    x = 28,984,955,760.37/253,656.87
  6. Step 6: Final answer
    x = 114,268.37

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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.