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Finding the Fourth Proportional to 281,322.58, 421,997.49 and 91,782.58

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Solution

The fourth proportional to 281,322.58, 421,997.49 and 91,782.58 is: 137,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,322.58 : 421,997.49 = 91,782.58 : x
  2. Step 2: Convert to fraction form
    281,322.58/421,997.49 = 91,782.58/x
  3. Step 3: Cross multiply
    281,322.58x = 421,997.49 × 91,782.58
  4. Step 4: Simplify right side
    281,322.58x = 38,732,018,385.72
  5. Step 5: Solve for x
    x = 38,732,018,385.72/281,322.58
  6. Step 6: Final answer
    x = 137,678.31

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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.