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Finding the Fourth Proportional to 214,166.60, 321,128.40 and 81,051.20

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Solution

The fourth proportional to 214,166.60, 321,128.40 and 81,051.20 is: 121,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,166.60 : 321,128.40 = 81,051.20 : x
  2. Step 2: Convert to fraction form
    214,166.60/321,128.40 = 81,051.20/x
  3. Step 3: Cross multiply
    214,166.60x = 321,128.40 × 81,051.20
  4. Step 4: Simplify right side
    214,166.60x = 26,027,842,174.08
  5. Step 5: Solve for x
    x = 26,027,842,174.08/214,166.60
  6. Step 6: Final answer
    x = 121,530.82

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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.