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Finding the Fourth Proportional to 76,817.32, 105,978.62 and 56,722.44

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Solution

The fourth proportional to 76,817.32, 105,978.62 and 56,722.44 is: 78,255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,817.32 : 105,978.62 = 56,722.44 : x
  2. Step 2: Convert to fraction form
    76,817.32/105,978.62 = 56,722.44/x
  3. Step 3: Cross multiply
    76,817.32x = 105,978.62 × 56,722.44
  4. Step 4: Simplify right side
    76,817.32x = 6,011,365,914.23
  5. Step 5: Solve for x
    x = 6,011,365,914.23/76,817.32
  6. Step 6: Final answer
    x = 78,255.35

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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.