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Finding the Fourth Proportional to 214,643.80, 321,965.70 and 74,402.41

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Solution

The fourth proportional to 214,643.80, 321,965.70 and 74,402.41 is: 111,603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,643.80 : 321,965.70 = 74,402.41 : x
  2. Step 2: Convert to fraction form
    214,643.80/321,965.70 = 74,402.41/x
  3. Step 3: Cross multiply
    214,643.80x = 321,965.70 × 74,402.41
  4. Step 4: Simplify right side
    214,643.80x = 23,955,024,017.34
  5. Step 5: Solve for x
    x = 23,955,024,017.34/214,643.80
  6. Step 6: Final answer
    x = 111,603.62

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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.