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Finding the Fourth Proportional to 214,649.22, 321,973.50 and 81,529.22

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Solution

The fourth proportional to 214,649.22, 321,973.50 and 81,529.22 is: 122,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,649.22 : 321,973.50 = 81,529.22 : x
  2. Step 2: Convert to fraction form
    214,649.22/321,973.50 = 81,529.22/x
  3. Step 3: Cross multiply
    214,649.22x = 321,973.50 × 81,529.22
  4. Step 4: Simplify right side
    214,649.22x = 26,250,248,315.67
  5. Step 5: Solve for x
    x = 26,250,248,315.67/214,649.22
  6. Step 6: Final answer
    x = 122,293.70

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1.5x scale

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.