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Finding the Fourth Proportional to 103,591.68, 155,199.36 and 47,478.48

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Solution

The fourth proportional to 103,591.68, 155,199.36 and 47,478.48 is: 71,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,591.68 : 155,199.36 = 47,478.48 : x
  2. Step 2: Convert to fraction form
    103,591.68/155,199.36 = 47,478.48/x
  3. Step 3: Cross multiply
    103,591.68x = 155,199.36 × 47,478.48
  4. Step 4: Simplify right side
    103,591.68x = 7,368,629,709.77
  5. Step 5: Solve for x
    x = 7,368,629,709.77/103,591.68
  6. Step 6: Final answer
    x = 71,131.48

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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.