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Finding the Fourth Proportional to 254,114.80, 381,207.36 and 85,683.34

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Solution

The fourth proportional to 254,114.80, 381,207.36 and 85,683.34 is: 128,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,114.80 : 381,207.36 = 85,683.34 : x
  2. Step 2: Convert to fraction form
    254,114.80/381,207.36 = 85,683.34/x
  3. Step 3: Cross multiply
    254,114.80x = 381,207.36 × 85,683.34
  4. Step 4: Simplify right side
    254,114.80x = 32,663,119,837.38
  5. Step 5: Solve for x
    x = 32,663,119,837.38/254,114.80
  6. Step 6: Final answer
    x = 128,536.87

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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.