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Finding the Fourth Proportional to 223,978.20, 309,089.94 and 123,376.20

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Solution

The fourth proportional to 223,978.20, 309,089.94 and 123,376.20 is: 170,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,978.20 : 309,089.94 = 123,376.20 : x
  2. Step 2: Convert to fraction form
    223,978.20/309,089.94 = 123,376.20/x
  3. Step 3: Cross multiply
    223,978.20x = 309,089.94 × 123,376.20
  4. Step 4: Simplify right side
    223,978.20x = 38,134,342,255.43
  5. Step 5: Solve for x
    x = 38,134,342,255.43/223,978.20
  6. Step 6: Final answer
    x = 170,259.17

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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.