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Finding the Fourth Proportional to 76,879.42, 106,104.14 and 45,061

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Solution

The fourth proportional to 76,879.42, 106,104.14 and 45,061 is: 62,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,879.42 : 106,104.14 = 45,061 : x
  2. Step 2: Convert to fraction form
    76,879.42/106,104.14 = 45,061/x
  3. Step 3: Cross multiply
    76,879.42x = 106,104.14 × 45,061
  4. Step 4: Simplify right side
    76,879.42x = 4,781,158,427.24
  5. Step 5: Solve for x
    x = 4,781,158,427.24/76,879.42
  6. Step 6: Final answer
    x = 62,190.36

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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.