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Finding the Fourth Proportional to 71,804.21, 107,706.24 and 19,212.32

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Solution

The fourth proportional to 71,804.21, 107,706.24 and 19,212.32 is: 28,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,804.21 : 107,706.24 = 19,212.32 : x
  2. Step 2: Convert to fraction form
    71,804.21/107,706.24 = 19,212.32/x
  3. Step 3: Cross multiply
    71,804.21x = 107,706.24 × 19,212.32
  4. Step 4: Simplify right side
    71,804.21x = 2,069,287,018.14
  5. Step 5: Solve for x
    x = 2,069,287,018.14/71,804.21
  6. Step 6: Final answer
    x = 28,818.47

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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.