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Finding the Fourth Proportional to 64,918, 97,377 and 21,142

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Solution

The fourth proportional to 64,918, 97,377 and 21,142 is: 31,713

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,918 : 97,377 = 21,142 : x
  2. Step 2: Convert to fraction form
    64,918/97,377 = 21,142/x
  3. Step 3: Cross multiply
    64,918x = 97,377 × 21,142
  4. Step 4: Simplify right side
    64,918x = 2,058,744,534
  5. Step 5: Solve for x
    x = 2,058,744,534/64,918
  6. Step 6: Final answer
    x = 31,713

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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.