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Finding the Fourth Proportional to 71,838.84, 107,762.58 and 21,922.32

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Solution

The fourth proportional to 71,838.84, 107,762.58 and 21,922.32 is: 32,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,838.84 : 107,762.58 = 21,922.32 : x
  2. Step 2: Convert to fraction form
    71,838.84/107,762.58 = 21,922.32/x
  3. Step 3: Cross multiply
    71,838.84x = 107,762.58 × 21,922.32
  4. Step 4: Simplify right side
    71,838.84x = 2,362,405,762.79
  5. Step 5: Solve for x
    x = 2,362,405,762.79/71,838.84
  6. Step 6: Final answer
    x = 32,884.80

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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.