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Finding the Fourth Proportional to 214,625.80, 321,981.90 and 74,355.40

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Solution

The fourth proportional to 214,625.80, 321,981.90 and 74,355.40 is: 111,548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,625.80 : 321,981.90 = 74,355.40 : x
  2. Step 2: Convert to fraction form
    214,625.80/321,981.90 = 74,355.40/x
  3. Step 3: Cross multiply
    214,625.80x = 321,981.90 × 74,355.40
  4. Step 4: Simplify right side
    214,625.80x = 23,941,092,967.26
  5. Step 5: Solve for x
    x = 23,941,092,967.26/214,625.80
  6. Step 6: Final answer
    x = 111,548.07

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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.