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Finding the Fourth Proportional to 65,101.12, 97,638 and 18,341.44

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Solution

The fourth proportional to 65,101.12, 97,638 and 18,341.44 is: 27,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,101.12 : 97,638 = 18,341.44 : x
  2. Step 2: Convert to fraction form
    65,101.12/97,638 = 18,341.44/x
  3. Step 3: Cross multiply
    65,101.12x = 97,638 × 18,341.44
  4. Step 4: Simplify right side
    65,101.12x = 1,790,821,518.72
  5. Step 5: Solve for x
    x = 1,790,821,518.72/65,101.12
  6. Step 6: Final answer
    x = 27,508.31

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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.