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Finding the Fourth Proportional to 76,838.76, 106,023.87 and 42,844.55

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Solution

The fourth proportional to 76,838.76, 106,023.87 and 42,844.55 is: 59,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,838.76 : 106,023.87 = 42,844.55 : x
  2. Step 2: Convert to fraction form
    76,838.76/106,023.87 = 42,844.55/x
  3. Step 3: Cross multiply
    76,838.76x = 106,023.87 × 42,844.55
  4. Step 4: Simplify right side
    76,838.76x = 4,542,544,469.29
  5. Step 5: Solve for x
    x = 4,542,544,469.29/76,838.76
  6. Step 6: Final answer
    x = 59,117.88

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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.