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Finding the Fourth Proportional to 154,486.63, 231,817.61 and 83,408.32

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Solution

The fourth proportional to 154,486.63, 231,817.61 and 83,408.32 is: 125,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,486.63 : 231,817.61 = 83,408.32 : x
  2. Step 2: Convert to fraction form
    154,486.63/231,817.61 = 83,408.32/x
  3. Step 3: Cross multiply
    154,486.63x = 231,817.61 × 83,408.32
  4. Step 4: Simplify right side
    154,486.63x = 19,335,517,396.52
  5. Step 5: Solve for x
    x = 19,335,517,396.52/154,486.63
  6. Step 6: Final answer
    x = 125,159.81

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1.5x scale

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.