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Finding the Fourth Proportional to 140,214.60, 210,321.90 and 84,918.60

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Solution

The fourth proportional to 140,214.60, 210,321.90 and 84,918.60 is: 127,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,214.60 : 210,321.90 = 84,918.60 : x
  2. Step 2: Convert to fraction form
    140,214.60/210,321.90 = 84,918.60/x
  3. Step 3: Cross multiply
    140,214.60x = 210,321.90 × 84,918.60
  4. Step 4: Simplify right side
    140,214.60x = 17,860,241,297.34
  5. Step 5: Solve for x
    x = 17,860,241,297.34/140,214.60
  6. Step 6: Final answer
    x = 127,377.90

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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.