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Finding the Fourth Proportional to 76,381, 105,406.14 and 42,847

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Solution

The fourth proportional to 76,381, 105,406.14 and 42,847 is: 59,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,381 : 105,406.14 = 42,847 : x
  2. Step 2: Convert to fraction form
    76,381/105,406.14 = 42,847/x
  3. Step 3: Cross multiply
    76,381x = 105,406.14 × 42,847
  4. Step 4: Simplify right side
    76,381x = 4,516,336,880.58
  5. Step 5: Solve for x
    x = 4,516,336,880.58/76,381
  6. Step 6: Final answer
    x = 59,129.06

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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.