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Finding the Fourth Proportional to 78,458.43, 108,274.74 and 42,650.85

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Solution

The fourth proportional to 78,458.43, 108,274.74 and 42,650.85 is: 58,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,458.43 : 108,274.74 = 42,650.85 : x
  2. Step 2: Convert to fraction form
    78,458.43/108,274.74 = 42,650.85/x
  3. Step 3: Cross multiply
    78,458.43x = 108,274.74 × 42,650.85
  4. Step 4: Simplify right side
    78,458.43x = 4,618,009,694.53
  5. Step 5: Solve for x
    x = 4,618,009,694.53/78,458.43
  6. Step 6: Final answer
    x = 58,859.32

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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.