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Finding the Fourth Proportional to 213,868.68, 295,212.54 and 123,260.83

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Solution

The fourth proportional to 213,868.68, 295,212.54 and 123,260.83 is: 170,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,868.68 : 295,212.54 = 123,260.83 : x
  2. Step 2: Convert to fraction form
    213,868.68/295,212.54 = 123,260.83/x
  3. Step 3: Cross multiply
    213,868.68x = 295,212.54 × 123,260.83
  4. Step 4: Simplify right side
    213,868.68x = 36,388,142,706.81
  5. Step 5: Solve for x
    x = 36,388,142,706.81/213,868.68
  6. Step 6: Final answer
    x = 170,142.46

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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.