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Finding the Fourth Proportional to 207,243.40, 310,865.10 and 162,142.60

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Solution

The fourth proportional to 207,243.40, 310,865.10 and 162,142.60 is: 243,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,243.40 : 310,865.10 = 162,142.60 : x
  2. Step 2: Convert to fraction form
    207,243.40/310,865.10 = 162,142.60/x
  3. Step 3: Cross multiply
    207,243.40x = 310,865.10 × 162,142.60
  4. Step 4: Simplify right side
    207,243.40x = 50,404,475,563.26
  5. Step 5: Solve for x
    x = 50,404,475,563.26/207,243.40
  6. Step 6: Final answer
    x = 243,213.90

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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.