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Finding the Fourth Proportional to 76,857.92, 106,060.20 and 42,869.96

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Solution

The fourth proportional to 76,857.92, 106,060.20 and 42,869.96 is: 59,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,857.92 : 106,060.20 = 42,869.96 : x
  2. Step 2: Convert to fraction form
    76,857.92/106,060.20 = 42,869.96/x
  3. Step 3: Cross multiply
    76,857.92x = 106,060.20 × 42,869.96
  4. Step 4: Simplify right side
    76,857.92x = 4,546,796,531.59
  5. Step 5: Solve for x
    x = 4,546,796,531.59/76,857.92
  6. Step 6: Final answer
    x = 59,158.46

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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.