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Finding the Fourth Proportional to 291,729.42, 437,668.02 and 81,367.32

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Solution

The fourth proportional to 291,729.42, 437,668.02 and 81,367.32 is: 122,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,729.42 : 437,668.02 = 81,367.32 : x
  2. Step 2: Convert to fraction form
    291,729.42/437,668.02 = 81,367.32/x
  3. Step 3: Cross multiply
    291,729.42x = 437,668.02 × 81,367.32
  4. Step 4: Simplify right side
    291,729.42x = 35,611,873,837.11
  5. Step 5: Solve for x
    x = 35,611,873,837.11/291,729.42
  6. Step 6: Final answer
    x = 122,071.59

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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.