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Finding the Fourth Proportional to 71,801.61, 107,717.95 and 21,880.40

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Solution

The fourth proportional to 71,801.61, 107,717.95 and 21,880.40 is: 32,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,801.61 : 107,717.95 = 21,880.40 : x
  2. Step 2: Convert to fraction form
    71,801.61/107,717.95 = 21,880.40/x
  3. Step 3: Cross multiply
    71,801.61x = 107,717.95 × 21,880.40
  4. Step 4: Simplify right side
    71,801.61x = 2,356,911,321.94
  5. Step 5: Solve for x
    x = 2,356,911,321.94/71,801.61
  6. Step 6: Final answer
    x = 32,825.33

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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.