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Finding the Fourth Proportional to 75,128.84, 112,750.40 and 27,788.72

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Solution

The fourth proportional to 75,128.84, 112,750.40 and 27,788.72 is: 41,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,128.84 : 112,750.40 = 27,788.72 : x
  2. Step 2: Convert to fraction form
    75,128.84/112,750.40 = 27,788.72/x
  3. Step 3: Cross multiply
    75,128.84x = 112,750.40 × 27,788.72
  4. Step 4: Simplify right side
    75,128.84x = 3,133,189,295.49
  5. Step 5: Solve for x
    x = 3,133,189,295.49/75,128.84
  6. Step 6: Final answer
    x = 41,704.21

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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.