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Finding the Fourth Proportional to 103,970.54, 155,847.27 and 75,438.56

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Solution

The fourth proportional to 103,970.54, 155,847.27 and 75,438.56 is: 113,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,970.54 : 155,847.27 = 75,438.56 : x
  2. Step 2: Convert to fraction form
    103,970.54/155,847.27 = 75,438.56/x
  3. Step 3: Cross multiply
    103,970.54x = 155,847.27 × 75,438.56
  4. Step 4: Simplify right side
    103,970.54x = 11,756,893,628.73
  5. Step 5: Solve for x
    x = 11,756,893,628.73/103,970.54
  6. Step 6: Final answer
    x = 113,079.09

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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.