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Finding the Fourth Proportional to 76,995.10, 106,355.24 and 61,944.46

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Solution

The fourth proportional to 76,995.10, 106,355.24 and 61,944.46 is: 85,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,995.10 : 106,355.24 = 61,944.46 : x
  2. Step 2: Convert to fraction form
    76,995.10/106,355.24 = 61,944.46/x
  3. Step 3: Cross multiply
    76,995.10x = 106,355.24 × 61,944.46
  4. Step 4: Simplify right side
    76,995.10x = 6,588,117,909.97
  5. Step 5: Solve for x
    x = 6,588,117,909.97/76,995.10
  6. Step 6: Final answer
    x = 85,565.42

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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.