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Finding the Fourth Proportional to 109,012.84, 150,551.94 and 75,109.48

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Solution

The fourth proportional to 109,012.84, 150,551.94 and 75,109.48 is: 103,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,012.84 : 150,551.94 = 75,109.48 : x
  2. Step 2: Convert to fraction form
    109,012.84/150,551.94 = 75,109.48/x
  3. Step 3: Cross multiply
    109,012.84x = 150,551.94 × 75,109.48
  4. Step 4: Simplify right side
    109,012.84x = 11,307,877,926.39
  5. Step 5: Solve for x
    x = 11,307,877,926.39/109,012.84
  6. Step 6: Final answer
    x = 103,729.78

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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.