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Finding the Fourth Proportional to 65,078.12, 97,645.16 and 20,708.48

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Solution

The fourth proportional to 65,078.12, 97,645.16 and 20,708.48 is: 31,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,078.12 : 97,645.16 = 20,708.48 : x
  2. Step 2: Convert to fraction form
    65,078.12/97,645.16 = 20,708.48/x
  3. Step 3: Cross multiply
    65,078.12x = 97,645.16 × 20,708.48
  4. Step 4: Simplify right side
    65,078.12x = 2,022,082,842.96
  5. Step 5: Solve for x
    x = 2,022,082,842.96/65,078.12
  6. Step 6: Final answer
    x = 31,071.62

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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.