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Finding the Fourth Proportional to 65,102.09, 97,653.14 and 20,742.44

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Solution

The fourth proportional to 65,102.09, 97,653.14 and 20,742.44 is: 31,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.09 : 97,653.14 = 20,742.44 : x
  2. Step 2: Convert to fraction form
    65,102.09/97,653.14 = 20,742.44/x
  3. Step 3: Cross multiply
    65,102.09x = 97,653.14 × 20,742.44
  4. Step 4: Simplify right side
    65,102.09x = 2,025,564,293.55
  5. Step 5: Solve for x
    x = 2,025,564,293.55/65,102.09
  6. Step 6: Final answer
    x = 31,113.66

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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.