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Finding the Fourth Proportional to 65,029.60, 97,543.89 and 20,659.81

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Solution

The fourth proportional to 65,029.60, 97,543.89 and 20,659.81 is: 30,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,029.60 : 97,543.89 = 20,659.81 : x
  2. Step 2: Convert to fraction form
    65,029.60/97,543.89 = 20,659.81/x
  3. Step 3: Cross multiply
    65,029.60x = 97,543.89 × 20,659.81
  4. Step 4: Simplify right side
    65,029.60x = 2,015,238,234.06
  5. Step 5: Solve for x
    x = 2,015,238,234.06/65,029.60
  6. Step 6: Final answer
    x = 30,989.55

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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.