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Finding the Fourth Proportional to 214,643.88, 321,962.04 and 74,400.48

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Solution

The fourth proportional to 214,643.88, 321,962.04 and 74,400.48 is: 111,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,643.88 : 321,962.04 = 74,400.48 : x
  2. Step 2: Convert to fraction form
    214,643.88/321,962.04 = 74,400.48/x
  3. Step 3: Cross multiply
    214,643.88x = 321,962.04 × 74,400.48
  4. Step 4: Simplify right side
    214,643.88x = 23,954,130,317.78
  5. Step 5: Solve for x
    x = 23,954,130,317.78/214,643.88
  6. Step 6: Final answer
    x = 111,599.41

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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.