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Finding the Fourth Proportional to 223,847.12, 308,899.68 and 123,238.64

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Solution

The fourth proportional to 223,847.12, 308,899.68 and 123,238.64 is: 170,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,847.12 : 308,899.68 = 123,238.64 : x
  2. Step 2: Convert to fraction form
    223,847.12/308,899.68 = 123,238.64/x
  3. Step 3: Cross multiply
    223,847.12x = 308,899.68 × 123,238.64
  4. Step 4: Simplify right side
    223,847.12x = 38,068,376,459.64
  5. Step 5: Solve for x
    x = 38,068,376,459.64/223,847.12
  6. Step 6: Final answer
    x = 170,064.18

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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.