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Finding the Fourth Proportional to 65,025.64, 97,541.80 and 20,655.86

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Solution

The fourth proportional to 65,025.64, 97,541.80 and 20,655.86 is: 30,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,025.64 : 97,541.80 = 20,655.86 : x
  2. Step 2: Convert to fraction form
    65,025.64/97,541.80 = 20,655.86/x
  3. Step 3: Cross multiply
    65,025.64x = 97,541.80 × 20,655.86
  4. Step 4: Simplify right side
    65,025.64x = 2,014,809,764.95
  5. Step 5: Solve for x
    x = 2,014,809,764.95/65,025.64
  6. Step 6: Final answer
    x = 30,984.85

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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.