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Finding the Fourth Proportional to 214,480, 321,741.87 and 74,238.22

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Solution

The fourth proportional to 214,480, 321,741.87 and 74,238.22 is: 111,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,480 : 321,741.87 = 74,238.22 : x
  2. Step 2: Convert to fraction form
    214,480/321,741.87 = 74,238.22/x
  3. Step 3: Cross multiply
    214,480x = 321,741.87 × 74,238.22
  4. Step 4: Simplify right side
    214,480x = 23,885,543,728.27
  5. Step 5: Solve for x
    x = 23,885,543,728.27/214,480
  6. Step 6: Final answer
    x = 111,364.90

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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.