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Finding the Fourth Proportional to 145,806.75, 201,213.32 and 78,738.75

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Solution

The fourth proportional to 145,806.75, 201,213.32 and 78,738.75 is: 108,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,806.75 : 201,213.32 = 78,738.75 : x
  2. Step 2: Convert to fraction form
    145,806.75/201,213.32 = 78,738.75/x
  3. Step 3: Cross multiply
    145,806.75x = 201,213.32 × 78,738.75
  4. Step 4: Simplify right side
    145,806.75x = 15,843,284,906.46
  5. Step 5: Solve for x
    x = 15,843,284,906.46/145,806.75
  6. Step 6: Final answer
    x = 108,659.48

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1.5x scale

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.