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Finding the Fourth Proportional to 65,115.93, 97,688.63 and 20,745.21

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Solution

The fourth proportional to 65,115.93, 97,688.63 and 20,745.21 is: 31,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,115.93 : 97,688.63 = 20,745.21 : x
  2. Step 2: Convert to fraction form
    65,115.93/97,688.63 = 20,745.21/x
  3. Step 3: Cross multiply
    65,115.93x = 97,688.63 × 20,745.21
  4. Step 4: Simplify right side
    65,115.93x = 2,026,571,040.24
  5. Step 5: Solve for x
    x = 2,026,571,040.24/65,115.93
  6. Step 6: Final answer
    x = 31,122.51

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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.