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Finding the Fourth Proportional to 65,098.84, 97,648.26 and 20,739.20

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Solution

The fourth proportional to 65,098.84, 97,648.26 and 20,739.20 is: 31,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,098.84 : 97,648.26 = 20,739.20 : x
  2. Step 2: Convert to fraction form
    65,098.84/97,648.26 = 20,739.20/x
  3. Step 3: Cross multiply
    65,098.84x = 97,648.26 × 20,739.20
  4. Step 4: Simplify right side
    65,098.84x = 2,025,146,793.79
  5. Step 5: Solve for x
    x = 2,025,146,793.79/65,098.84
  6. Step 6: Final answer
    x = 31,108.80

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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.