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Finding the Fourth Proportional to 149,221.20, 223,871.40 and 64,945.20

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Solution

The fourth proportional to 149,221.20, 223,871.40 and 64,945.20 is: 97,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,221.20 : 223,871.40 = 64,945.20 : x
  2. Step 2: Convert to fraction form
    149,221.20/223,871.40 = 64,945.20/x
  3. Step 3: Cross multiply
    149,221.20x = 223,871.40 × 64,945.20
  4. Step 4: Simplify right side
    149,221.20x = 14,539,372,847.28
  5. Step 5: Solve for x
    x = 14,539,372,847.28/149,221.20
  6. Step 6: Final answer
    x = 97,435.04

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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.