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Finding the Fourth Proportional to 254,583.22, 381,875.73 and 86,104.90

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Solution

The fourth proportional to 254,583.22, 381,875.73 and 86,104.90 is: 129,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,583.22 : 381,875.73 = 86,104.90 : x
  2. Step 2: Convert to fraction form
    254,583.22/381,875.73 = 86,104.90/x
  3. Step 3: Cross multiply
    254,583.22x = 381,875.73 × 86,104.90
  4. Step 4: Simplify right side
    254,583.22x = 32,881,371,544.08
  5. Step 5: Solve for x
    x = 32,881,371,544.08/254,583.22
  6. Step 6: Final answer
    x = 129,157.65

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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.