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Finding the Fourth Proportional to 213,608.56, 294,907.72 and 133,145.07

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Solution

The fourth proportional to 213,608.56, 294,907.72 and 133,145.07 is: 183,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,608.56 : 294,907.72 = 133,145.07 : x
  2. Step 2: Convert to fraction form
    213,608.56/294,907.72 = 133,145.07/x
  3. Step 3: Cross multiply
    213,608.56x = 294,907.72 × 133,145.07
  4. Step 4: Simplify right side
    213,608.56x = 39,265,510,261.74
  5. Step 5: Solve for x
    x = 39,265,510,261.74/213,608.56
  6. Step 6: Final answer
    x = 183,819.93

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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.