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Finding the Fourth Proportional to 214,951.80, 322,430.40 and 65,193.60

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Solution

The fourth proportional to 214,951.80, 322,430.40 and 65,193.60 is: 97,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,951.80 : 322,430.40 = 65,193.60 : x
  2. Step 2: Convert to fraction form
    214,951.80/322,430.40 = 65,193.60/x
  3. Step 3: Cross multiply
    214,951.80x = 322,430.40 × 65,193.60
  4. Step 4: Simplify right side
    214,951.80x = 21,020,398,525.44
  5. Step 5: Solve for x
    x = 21,020,398,525.44/214,951.80
  6. Step 6: Final answer
    x = 97,791.22

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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.