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Finding the Fourth Proportional to 277,981.86, 416,969.12 and 67,620

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Solution

The fourth proportional to 277,981.86, 416,969.12 and 67,620 is: 101,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,981.86 : 416,969.12 = 67,620 : x
  2. Step 2: Convert to fraction form
    277,981.86/416,969.12 = 67,620/x
  3. Step 3: Cross multiply
    277,981.86x = 416,969.12 × 67,620
  4. Step 4: Simplify right side
    277,981.86x = 28,195,451,894.40
  5. Step 5: Solve for x
    x = 28,195,451,894.40/277,981.86
  6. Step 6: Final answer
    x = 101,429.11

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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.