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Finding the Fourth Proportional to 203,789, 281,254.74 and 114,365

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Solution

The fourth proportional to 203,789, 281,254.74 and 114,365 is: 157,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,789 : 281,254.74 = 114,365 : x
  2. Step 2: Convert to fraction form
    203,789/281,254.74 = 114,365/x
  3. Step 3: Cross multiply
    203,789x = 281,254.74 × 114,365
  4. Step 4: Simplify right side
    203,789x = 32,165,698,340.10
  5. Step 5: Solve for x
    x = 32,165,698,340.10/203,789
  6. Step 6: Final answer
    x = 157,838.25

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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.