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Finding the Fourth Proportional to 207,271.70, 310,725.30 and 140,495.30

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Solution

The fourth proportional to 207,271.70, 310,725.30 and 140,495.30 is: 210,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,271.70 : 310,725.30 = 140,495.30 : x
  2. Step 2: Convert to fraction form
    207,271.70/310,725.30 = 140,495.30/x
  3. Step 3: Cross multiply
    207,271.70x = 310,725.30 × 140,495.30
  4. Step 4: Simplify right side
    207,271.70x = 43,655,444,241.09
  5. Step 5: Solve for x
    x = 43,655,444,241.09/207,271.70
  6. Step 6: Final answer
    x = 210,619.42

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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.