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Finding the Fourth Proportional to 75,093.48, 103,640.63 and 42,828.17

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Solution

The fourth proportional to 75,093.48, 103,640.63 and 42,828.17 is: 59,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,093.48 : 103,640.63 = 42,828.17 : x
  2. Step 2: Convert to fraction form
    75,093.48/103,640.63 = 42,828.17/x
  3. Step 3: Cross multiply
    75,093.48x = 103,640.63 × 42,828.17
  4. Step 4: Simplify right side
    75,093.48x = 4,438,738,520.55
  5. Step 5: Solve for x
    x = 4,438,738,520.55/75,093.48
  6. Step 6: Final answer
    x = 59,109.51

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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.