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Finding the Fourth Proportional to 65,102.88, 97,622.01 and 20,723.86

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Solution

The fourth proportional to 65,102.88, 97,622.01 and 20,723.86 is: 31,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.88 : 97,622.01 = 20,723.86 : x
  2. Step 2: Convert to fraction form
    65,102.88/97,622.01 = 20,723.86/x
  3. Step 3: Cross multiply
    65,102.88x = 97,622.01 × 20,723.86
  4. Step 4: Simplify right side
    65,102.88x = 2,023,104,868.16
  5. Step 5: Solve for x
    x = 2,023,104,868.16/65,102.88
  6. Step 6: Final answer
    x = 31,075.50

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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.