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Finding the Fourth Proportional to 64,814, 97,221 and 21,038

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Solution

The fourth proportional to 64,814, 97,221 and 21,038 is: 31,557

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,814 : 97,221 = 21,038 : x
  2. Step 2: Convert to fraction form
    64,814/97,221 = 21,038/x
  3. Step 3: Cross multiply
    64,814x = 97,221 × 21,038
  4. Step 4: Simplify right side
    64,814x = 2,045,335,398
  5. Step 5: Solve for x
    x = 2,045,335,398/64,814
  6. Step 6: Final answer
    x = 31,557

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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.