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Finding the Fourth Proportional to 65,580, 90,500.40 and 35,772

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Solution

The fourth proportional to 65,580, 90,500.40 and 35,772 is: 49,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,580 : 90,500.40 = 35,772 : x
  2. Step 2: Convert to fraction form
    65,580/90,500.40 = 35,772/x
  3. Step 3: Cross multiply
    65,580x = 90,500.40 × 35,772
  4. Step 4: Simplify right side
    65,580x = 3,237,380,308.80
  5. Step 5: Solve for x
    x = 3,237,380,308.80/65,580
  6. Step 6: Final answer
    x = 49,365.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.