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Finding the Fourth Proportional to 254,612.84, 381,920.34 and 86,134.48

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Solution

The fourth proportional to 254,612.84, 381,920.34 and 86,134.48 is: 129,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,612.84 : 381,920.34 = 86,134.48 : x
  2. Step 2: Convert to fraction form
    254,612.84/381,920.34 = 86,134.48/x
  3. Step 3: Cross multiply
    254,612.84x = 381,920.34 × 86,134.48
  4. Step 4: Simplify right side
    254,612.84x = 32,896,509,887.32
  5. Step 5: Solve for x
    x = 32,896,509,887.32/254,612.84
  6. Step 6: Final answer
    x = 129,202.09

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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.