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Finding the Fourth Proportional to 64,818, 97,227 and 21,042

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Solution

The fourth proportional to 64,818, 97,227 and 21,042 is: 31,563

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,818 : 97,227 = 21,042 : x
  2. Step 2: Convert to fraction form
    64,818/97,227 = 21,042/x
  3. Step 3: Cross multiply
    64,818x = 97,227 × 21,042
  4. Step 4: Simplify right side
    64,818x = 2,045,850,534
  5. Step 5: Solve for x
    x = 2,045,850,534/64,818
  6. Step 6: Final answer
    x = 31,563

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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.