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Finding the Fourth Proportional to 203,712.45, 280,953.60 and 152,838.08

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Solution

The fourth proportional to 203,712.45, 280,953.60 and 152,838.08 is: 210,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,712.45 : 280,953.60 = 152,838.08 : x
  2. Step 2: Convert to fraction form
    203,712.45/280,953.60 = 152,838.08/x
  3. Step 3: Cross multiply
    203,712.45x = 280,953.60 × 152,838.08
  4. Step 4: Simplify right side
    203,712.45x = 42,940,407,388.32
  5. Step 5: Solve for x
    x = 42,940,407,388.32/203,712.45
  6. Step 6: Final answer
    x = 210,789.31

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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.