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Finding the Fourth Proportional to 254,457.64, 381,105.08 and 121,431.31

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Solution

The fourth proportional to 254,457.64, 381,105.08 and 121,431.31 is: 181,869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,457.64 : 381,105.08 = 121,431.31 : x
  2. Step 2: Convert to fraction form
    254,457.64/381,105.08 = 121,431.31/x
  3. Step 3: Cross multiply
    254,457.64x = 381,105.08 × 121,431.31
  4. Step 4: Simplify right side
    254,457.64x = 46,278,088,007.50
  5. Step 5: Solve for x
    x = 46,278,088,007.50/254,457.64
  6. Step 6: Final answer
    x = 181,869.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.