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Finding the Fourth Proportional to 214,945.80, 322,421.40 and 65,187.60

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Solution

The fourth proportional to 214,945.80, 322,421.40 and 65,187.60 is: 97,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,945.80 : 322,421.40 = 65,187.60 : x
  2. Step 2: Convert to fraction form
    214,945.80/322,421.40 = 65,187.60/x
  3. Step 3: Cross multiply
    214,945.80x = 322,421.40 × 65,187.60
  4. Step 4: Simplify right side
    214,945.80x = 21,017,877,254.64
  5. Step 5: Solve for x
    x = 21,017,877,254.64/214,945.80
  6. Step 6: Final answer
    x = 97,782.22

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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.