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Finding the Fourth Proportional to 71,109.40, 106,664.09 and 21,188.20

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Solution

The fourth proportional to 71,109.40, 106,664.09 and 21,188.20 is: 31,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,109.40 : 106,664.09 = 21,188.20 : x
  2. Step 2: Convert to fraction form
    71,109.40/106,664.09 = 21,188.20/x
  3. Step 3: Cross multiply
    71,109.40x = 106,664.09 × 21,188.20
  4. Step 4: Simplify right side
    71,109.40x = 2,260,020,071.74
  5. Step 5: Solve for x
    x = 2,260,020,071.74/71,109.40
  6. Step 6: Final answer
    x = 31,782.30

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1.5x scale

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.