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Finding the Fourth Proportional to 227,403.94, 313,940.48 and 136,780.14

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Solution

The fourth proportional to 227,403.94, 313,940.48 and 136,780.14 is: 188,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,403.94 : 313,940.48 = 136,780.14 : x
  2. Step 2: Convert to fraction form
    227,403.94/313,940.48 = 136,780.14/x
  3. Step 3: Cross multiply
    227,403.94x = 313,940.48 × 136,780.14
  4. Step 4: Simplify right side
    227,403.94x = 42,940,822,806.07
  5. Step 5: Solve for x
    x = 42,940,822,806.07/227,403.94
  6. Step 6: Final answer
    x = 188,830.60

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1.5x scale

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.