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Finding the Fourth Proportional to 64,885.36, 97,315 and 18,138.64

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Solution

The fourth proportional to 64,885.36, 97,315 and 18,138.64 is: 27,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,885.36 : 97,315 = 18,138.64 : x
  2. Step 2: Convert to fraction form
    64,885.36/97,315 = 18,138.64/x
  3. Step 3: Cross multiply
    64,885.36x = 97,315 × 18,138.64
  4. Step 4: Simplify right side
    64,885.36x = 1,765,161,751.60
  5. Step 5: Solve for x
    x = 1,765,161,751.60/64,885.36
  6. Step 6: Final answer
    x = 27,204.31

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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.