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Finding the Fourth Proportional to 89,886.32, 134,846.78 and 34,478

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Solution

The fourth proportional to 89,886.32, 134,846.78 and 34,478 is: 51,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,886.32 : 134,846.78 = 34,478 : x
  2. Step 2: Convert to fraction form
    89,886.32/134,846.78 = 34,478/x
  3. Step 3: Cross multiply
    89,886.32x = 134,846.78 × 34,478
  4. Step 4: Simplify right side
    89,886.32x = 4,649,247,280.84
  5. Step 5: Solve for x
    x = 4,649,247,280.84/89,886.32
  6. Step 6: Final answer
    x = 51,723.64

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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.