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Finding the Fourth Proportional to 254,518.08, 381,820.80 and 86,039.68

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Solution

The fourth proportional to 254,518.08, 381,820.80 and 86,039.68 is: 129,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,518.08 : 381,820.80 = 86,039.68 : x
  2. Step 2: Convert to fraction form
    254,518.08/381,820.80 = 86,039.68/x
  3. Step 3: Cross multiply
    254,518.08x = 381,820.80 × 86,039.68
  4. Step 4: Simplify right side
    254,518.08x = 32,851,739,449.34
  5. Step 5: Solve for x
    x = 32,851,739,449.34/254,518.08
  6. Step 6: Final answer
    x = 129,074.29

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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.