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Finding the Fourth Proportional to 76,793.06, 105,971.02 and 42,805.26

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Solution

The fourth proportional to 76,793.06, 105,971.02 and 42,805.26 is: 59,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,793.06 : 105,971.02 = 42,805.26 : x
  2. Step 2: Convert to fraction form
    76,793.06/105,971.02 = 42,805.26/x
  3. Step 3: Cross multiply
    76,793.06x = 105,971.02 × 42,805.26
  4. Step 4: Simplify right side
    76,793.06x = 4,536,116,956.55
  5. Step 5: Solve for x
    x = 4,536,116,956.55/76,793.06
  6. Step 6: Final answer
    x = 59,069.36

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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.