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Finding the Fourth Proportional to 74,409.86, 102,686.55 and 40,418.92

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Solution

The fourth proportional to 74,409.86, 102,686.55 and 40,418.92 is: 55,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,409.86 : 102,686.55 = 40,418.92 : x
  2. Step 2: Convert to fraction form
    74,409.86/102,686.55 = 40,418.92/x
  3. Step 3: Cross multiply
    74,409.86x = 102,686.55 × 40,418.92
  4. Step 4: Simplify right side
    74,409.86x = 4,150,478,848.70
  5. Step 5: Solve for x
    x = 4,150,478,848.70/74,409.86
  6. Step 6: Final answer
    x = 55,778.61

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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.