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Finding the Fourth Proportional to 64,408.25, 96,622.70 and 20,045.26

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Solution

The fourth proportional to 64,408.25, 96,622.70 and 20,045.26 is: 30,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,408.25 : 96,622.70 = 20,045.26 : x
  2. Step 2: Convert to fraction form
    64,408.25/96,622.70 = 20,045.26/x
  3. Step 3: Cross multiply
    64,408.25x = 96,622.70 × 20,045.26
  4. Step 4: Simplify right side
    64,408.25x = 1,936,827,143.40
  5. Step 5: Solve for x
    x = 1,936,827,143.40/64,408.25
  6. Step 6: Final answer
    x = 30,071.10

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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.