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Finding the Fourth Proportional to 71,314.16, 106,964.84 and 21,405.39

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Solution

The fourth proportional to 71,314.16, 106,964.84 and 21,405.39 is: 32,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,314.16 : 106,964.84 = 21,405.39 : x
  2. Step 2: Convert to fraction form
    71,314.16/106,964.84 = 21,405.39/x
  3. Step 3: Cross multiply
    71,314.16x = 106,964.84 × 21,405.39
  4. Step 4: Simplify right side
    71,314.16x = 2,289,624,009.46
  5. Step 5: Solve for x
    x = 2,289,624,009.46/71,314.16
  6. Step 6: Final answer
    x = 32,106.16

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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.