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Finding the Fourth Proportional to 140,817, 211,202.46 and 99,137.64

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Solution

The fourth proportional to 140,817, 211,202.46 and 99,137.64 is: 148,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,817 : 211,202.46 = 99,137.64 : x
  2. Step 2: Convert to fraction form
    140,817/211,202.46 = 99,137.64/x
  3. Step 3: Cross multiply
    140,817x = 211,202.46 × 99,137.64
  4. Step 4: Simplify right side
    140,817x = 20,938,113,446.59
  5. Step 5: Solve for x
    x = 20,938,113,446.59/140,817
  6. Step 6: Final answer
    x = 148,690.24

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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.