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Finding the Fourth Proportional to 53,419.70, 80,032.35 and 43,505.30

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Solution

The fourth proportional to 53,419.70, 80,032.35 and 43,505.30 is: 65,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,419.70 : 80,032.35 = 43,505.30 : x
  2. Step 2: Convert to fraction form
    53,419.70/80,032.35 = 43,505.30/x
  3. Step 3: Cross multiply
    53,419.70x = 80,032.35 × 43,505.30
  4. Step 4: Simplify right side
    53,419.70x = 3,481,831,396.46
  5. Step 5: Solve for x
    x = 3,481,831,396.46/53,419.70
  6. Step 6: Final answer
    x = 65,178.79

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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.