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Finding the Fourth Proportional to 142,164.30, 213,246.45 and 140,090.70

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Solution

The fourth proportional to 142,164.30, 213,246.45 and 140,090.70 is: 210,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,164.30 : 213,246.45 = 140,090.70 : x
  2. Step 2: Convert to fraction form
    142,164.30/213,246.45 = 140,090.70/x
  3. Step 3: Cross multiply
    142,164.30x = 213,246.45 × 140,090.70
  4. Step 4: Simplify right side
    142,164.30x = 29,873,844,453.02
  5. Step 5: Solve for x
    x = 29,873,844,453.02/142,164.30
  6. Step 6: Final answer
    x = 210,136.05

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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.