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Finding the Fourth Proportional to 65,652.48, 98,464.32 and 18,895.20

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Solution

The fourth proportional to 65,652.48, 98,464.32 and 18,895.20 is: 28,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,652.48 : 98,464.32 = 18,895.20 : x
  2. Step 2: Convert to fraction form
    65,652.48/98,464.32 = 18,895.20/x
  3. Step 3: Cross multiply
    65,652.48x = 98,464.32 × 18,895.20
  4. Step 4: Simplify right side
    65,652.48x = 1,860,503,019.26
  5. Step 5: Solve for x
    x = 1,860,503,019.26/65,652.48
  6. Step 6: Final answer
    x = 28,338.66

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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.