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Finding the Fourth Proportional to 65,190.72, 97,784.40 and 20,820.24

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Solution

The fourth proportional to 65,190.72, 97,784.40 and 20,820.24 is: 31,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,190.72 : 97,784.40 = 20,820.24 : x
  2. Step 2: Convert to fraction form
    65,190.72/97,784.40 = 20,820.24/x
  3. Step 3: Cross multiply
    65,190.72x = 97,784.40 × 20,820.24
  4. Step 4: Simplify right side
    65,190.72x = 2,035,894,676.26
  5. Step 5: Solve for x
    x = 2,035,894,676.26/65,190.72
  6. Step 6: Final answer
    x = 31,229.82

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1.5x scale

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.