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Finding the Fourth Proportional to 223,907.86, 308,978.76 and 123,305.86

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Solution

The fourth proportional to 223,907.86, 308,978.76 and 123,305.86 is: 170,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,907.86 : 308,978.76 = 123,305.86 : x
  2. Step 2: Convert to fraction form
    223,907.86/308,978.76 = 123,305.86/x
  3. Step 3: Cross multiply
    223,907.86x = 308,978.76 × 123,305.86
  4. Step 4: Simplify right side
    223,907.86x = 38,098,891,723.53
  5. Step 5: Solve for x
    x = 38,098,891,723.53/223,907.86
  6. Step 6: Final answer
    x = 170,154.33

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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.