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Finding the Fourth Proportional to 242,718.86, 363,792.26 and 109,443.08

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Solution

The fourth proportional to 242,718.86, 363,792.26 and 109,443.08 is: 164,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,718.86 : 363,792.26 = 109,443.08 : x
  2. Step 2: Convert to fraction form
    242,718.86/363,792.26 = 109,443.08/x
  3. Step 3: Cross multiply
    242,718.86x = 363,792.26 × 109,443.08
  4. Step 4: Simplify right side
    242,718.86x = 39,814,545,414.56
  5. Step 5: Solve for x
    x = 39,814,545,414.56/242,718.86
  6. Step 6: Final answer
    x = 164,035.65

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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.