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Finding the Fourth Proportional to 65,129.60, 97,692.57 and 20,759.01

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Solution

The fourth proportional to 65,129.60, 97,692.57 and 20,759.01 is: 31,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129.60 : 97,692.57 = 20,759.01 : x
  2. Step 2: Convert to fraction form
    65,129.60/97,692.57 = 20,759.01/x
  3. Step 3: Cross multiply
    65,129.60x = 97,692.57 × 20,759.01
  4. Step 4: Simplify right side
    65,129.60x = 2,028,001,037.56
  5. Step 5: Solve for x
    x = 2,028,001,037.56/65,129.60
  6. Step 6: Final answer
    x = 31,137.93

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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.