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Finding the Fourth Proportional to 52,419.40, 78,542.70 and 43,606.60

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Solution

The fourth proportional to 52,419.40, 78,542.70 and 43,606.60 is: 65,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,419.40 : 78,542.70 = 43,606.60 : x
  2. Step 2: Convert to fraction form
    52,419.40/78,542.70 = 43,606.60/x
  3. Step 3: Cross multiply
    52,419.40x = 78,542.70 × 43,606.60
  4. Step 4: Simplify right side
    52,419.40x = 3,424,980,101.82
  5. Step 5: Solve for x
    x = 3,424,980,101.82/52,419.40
  6. Step 6: Final answer
    x = 65,338.03

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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.