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Finding the Fourth Proportional to 254,377.08, 381,315.78 and 142,111.08

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Solution

The fourth proportional to 254,377.08, 381,315.78 and 142,111.08 is: 213,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,377.08 : 381,315.78 = 142,111.08 : x
  2. Step 2: Convert to fraction form
    254,377.08/381,315.78 = 142,111.08/x
  3. Step 3: Cross multiply
    254,377.08x = 381,315.78 × 142,111.08
  4. Step 4: Simplify right side
    254,377.08x = 54,189,197,316.84
  5. Step 5: Solve for x
    x = 54,189,197,316.84/254,377.08
  6. Step 6: Final answer
    x = 213,027.04

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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.