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Finding the Fourth Proportional to 71,176.25, 106,782.95 and 21,256.35

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Solution

The fourth proportional to 71,176.25, 106,782.95 and 21,256.35 is: 31,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,176.25 : 106,782.95 = 21,256.35 : x
  2. Step 2: Convert to fraction form
    71,176.25/106,782.95 = 21,256.35/x
  3. Step 3: Cross multiply
    71,176.25x = 106,782.95 × 21,256.35
  4. Step 4: Simplify right side
    71,176.25x = 2,269,816,212.81
  5. Step 5: Solve for x
    x = 2,269,816,212.81/71,176.25
  6. Step 6: Final answer
    x = 31,890.08

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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.