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Finding the Fourth Proportional to 221,657.71, 332,533.26 and 71,886.32

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Solution

The fourth proportional to 221,657.71, 332,533.26 and 71,886.32 is: 107,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,657.71 : 332,533.26 = 71,886.32 : x
  2. Step 2: Convert to fraction form
    221,657.71/332,533.26 = 71,886.32/x
  3. Step 3: Cross multiply
    221,657.71x = 332,533.26 × 71,886.32
  4. Step 4: Simplify right side
    221,657.71x = 23,904,590,676.34
  5. Step 5: Solve for x
    x = 23,904,590,676.34/221,657.71
  6. Step 6: Final answer
    x = 107,844.62

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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.