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Finding the Fourth Proportional to 77,879.92, 116,856.72 and 40,420.08

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Solution

The fourth proportional to 77,879.92, 116,856.72 and 40,420.08 is: 60,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,879.92 : 116,856.72 = 40,420.08 : x
  2. Step 2: Convert to fraction form
    77,879.92/116,856.72 = 40,420.08/x
  3. Step 3: Cross multiply
    77,879.92x = 116,856.72 × 40,420.08
  4. Step 4: Simplify right side
    77,879.92x = 4,723,357,970.94
  5. Step 5: Solve for x
    x = 4,723,357,970.94/77,879.92
  6. Step 6: Final answer
    x = 60,649.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.