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Finding the Fourth Proportional to 159,143.78, 238,664.64 and 52,503.84

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Solution

The fourth proportional to 159,143.78, 238,664.64 and 52,503.84 is: 78,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,143.78 : 238,664.64 = 52,503.84 : x
  2. Step 2: Convert to fraction form
    159,143.78/238,664.64 = 52,503.84/x
  3. Step 3: Cross multiply
    159,143.78x = 238,664.64 × 52,503.84
  4. Step 4: Simplify right side
    159,143.78x = 12,530,810,072.22
  5. Step 5: Solve for x
    x = 12,530,810,072.22/159,143.78
  6. Step 6: Final answer
    x = 78,738.92

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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.