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Finding the Fourth Proportional to 223,176.84, 307,907.01 and 142,651.50

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Solution

The fourth proportional to 223,176.84, 307,907.01 and 142,651.50 is: 196,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,176.84 : 307,907.01 = 142,651.50 : x
  2. Step 2: Convert to fraction form
    223,176.84/307,907.01 = 142,651.50/x
  3. Step 3: Cross multiply
    223,176.84x = 307,907.01 × 142,651.50
  4. Step 4: Simplify right side
    223,176.84x = 43,923,396,837.02
  5. Step 5: Solve for x
    x = 43,923,396,837.02/223,176.84
  6. Step 6: Final answer
    x = 196,809.83

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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.