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Finding the Fourth Proportional to 76,847.43, 106,049.92 and 42,858.08

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Solution

The fourth proportional to 76,847.43, 106,049.92 and 42,858.08 is: 59,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,847.43 : 106,049.92 = 42,858.08 : x
  2. Step 2: Convert to fraction form
    76,847.43/106,049.92 = 42,858.08/x
  3. Step 3: Cross multiply
    76,847.43x = 106,049.92 × 42,858.08
  4. Step 4: Simplify right side
    76,847.43x = 4,545,095,955.35
  5. Step 5: Solve for x
    x = 4,545,095,955.35/76,847.43
  6. Step 6: Final answer
    x = 59,144.41

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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.