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Finding the Fourth Proportional to 65,455.50, 90,328.60 and 35,647.50

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Solution

The fourth proportional to 65,455.50, 90,328.60 and 35,647.50 is: 49,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,455.50 : 90,328.60 = 35,647.50 : x
  2. Step 2: Convert to fraction form
    65,455.50/90,328.60 = 35,647.50/x
  3. Step 3: Cross multiply
    65,455.50x = 90,328.60 × 35,647.50
  4. Step 4: Simplify right side
    65,455.50x = 3,219,988,768.50
  5. Step 5: Solve for x
    x = 3,219,988,768.50/65,455.50
  6. Step 6: Final answer
    x = 49,193.56

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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.