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Finding the Fourth Proportional to 203,051.78, 280,208.10 and 112,405.88

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Solution

The fourth proportional to 203,051.78, 280,208.10 and 112,405.88 is: 155,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,051.78 : 280,208.10 = 112,405.88 : x
  2. Step 2: Convert to fraction form
    203,051.78/280,208.10 = 112,405.88/x
  3. Step 3: Cross multiply
    203,051.78x = 280,208.10 × 112,405.88
  4. Step 4: Simplify right side
    203,051.78x = 31,497,038,063.63
  5. Step 5: Solve for x
    x = 31,497,038,063.63/203,051.78
  6. Step 6: Final answer
    x = 155,118.26

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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.