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Finding the Fourth Proportional to 254,484.86, 381,769.20 and 86,015.39

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Solution

The fourth proportional to 254,484.86, 381,769.20 and 86,015.39 is: 129,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,484.86 : 381,769.20 = 86,015.39 : x
  2. Step 2: Convert to fraction form
    254,484.86/381,769.20 = 86,015.39/x
  3. Step 3: Cross multiply
    254,484.86x = 381,769.20 × 86,015.39
  4. Step 4: Simplify right side
    254,484.86x = 32,838,024,719.14
  5. Step 5: Solve for x
    x = 32,838,024,719.14/254,484.86
  6. Step 6: Final answer
    x = 129,037.25

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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.