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Finding the Fourth Proportional to 175,405.80, 262,806.30 and 81,719.40

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Solution

The fourth proportional to 175,405.80, 262,806.30 and 81,719.40 is: 122,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,405.80 : 262,806.30 = 81,719.40 : x
  2. Step 2: Convert to fraction form
    175,405.80/262,806.30 = 81,719.40/x
  3. Step 3: Cross multiply
    175,405.80x = 262,806.30 × 81,719.40
  4. Step 4: Simplify right side
    175,405.80x = 21,476,373,152.22
  5. Step 5: Solve for x
    x = 21,476,373,152.22/175,405.80
  6. Step 6: Final answer
    x = 122,438.22

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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.