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Finding the Fourth Proportional to 214,652.10, 321,978.15 and 121,340.10

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Solution

The fourth proportional to 214,652.10, 321,978.15 and 121,340.10 is: 182,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,652.10 : 321,978.15 = 121,340.10 : x
  2. Step 2: Convert to fraction form
    214,652.10/321,978.15 = 121,340.10/x
  3. Step 3: Cross multiply
    214,652.10x = 321,978.15 × 121,340.10
  4. Step 4: Simplify right side
    214,652.10x = 39,068,860,918.82
  5. Step 5: Solve for x
    x = 39,068,860,918.82/214,652.10
  6. Step 6: Final answer
    x = 182,010.15

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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.