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Finding the Fourth Proportional to 254,172.48, 380,992.68 and 85,634.57

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Solution

The fourth proportional to 254,172.48, 380,992.68 and 85,634.57 is: 128,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,172.48 : 380,992.68 = 85,634.57 : x
  2. Step 2: Convert to fraction form
    254,172.48/380,992.68 = 85,634.57/x
  3. Step 3: Cross multiply
    254,172.48x = 380,992.68 × 85,634.57
  4. Step 4: Simplify right side
    254,172.48x = 32,626,142,419.98
  5. Step 5: Solve for x
    x = 32,626,142,419.98/254,172.48
  6. Step 6: Final answer
    x = 128,362.21

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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.