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Finding the Fourth Proportional to 65,230.40, 97,832.80 and 20,845.28

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Solution

The fourth proportional to 65,230.40, 97,832.80 and 20,845.28 is: 31,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,230.40 : 97,832.80 = 20,845.28 : x
  2. Step 2: Convert to fraction form
    65,230.40/97,832.80 = 20,845.28/x
  3. Step 3: Cross multiply
    65,230.40x = 97,832.80 × 20,845.28
  4. Step 4: Simplify right side
    65,230.40x = 2,039,352,109.18
  5. Step 5: Solve for x
    x = 2,039,352,109.18/65,230.40
  6. Step 6: Final answer
    x = 31,263.83

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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.