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Finding the Fourth Proportional to 230,408.94, 317,927.76 and 129,787.50

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Solution

The fourth proportional to 230,408.94, 317,927.76 and 129,787.50 is: 179,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,408.94 : 317,927.76 = 129,787.50 : x
  2. Step 2: Convert to fraction form
    230,408.94/317,927.76 = 129,787.50/x
  3. Step 3: Cross multiply
    230,408.94x = 317,927.76 × 129,787.50
  4. Step 4: Simplify right side
    230,408.94x = 41,263,049,151
  5. Step 5: Solve for x
    x = 41,263,049,151/230,408.94
  6. Step 6: Final answer
    x = 179,086.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.