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Finding the Fourth Proportional to 75,684.50, 104,447.85 and 42,150.50

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Solution

The fourth proportional to 75,684.50, 104,447.85 and 42,150.50 is: 58,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,684.50 : 104,447.85 = 42,150.50 : x
  2. Step 2: Convert to fraction form
    75,684.50/104,447.85 = 42,150.50/x
  3. Step 3: Cross multiply
    75,684.50x = 104,447.85 × 42,150.50
  4. Step 4: Simplify right side
    75,684.50x = 4,402,529,101.43
  5. Step 5: Solve for x
    x = 4,402,529,101.43/75,684.50
  6. Step 6: Final answer
    x = 58,169.49

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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.