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Finding the Fourth Proportional to 77,058, 115,587 and 21,654

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Solution

The fourth proportional to 77,058, 115,587 and 21,654 is: 32,481

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,058 : 115,587 = 21,654 : x
  2. Step 2: Convert to fraction form
    77,058/115,587 = 21,654/x
  3. Step 3: Cross multiply
    77,058x = 115,587 × 21,654
  4. Step 4: Simplify right side
    77,058x = 2,502,920,898
  5. Step 5: Solve for x
    x = 2,502,920,898/77,058
  6. Step 6: Final answer
    x = 32,481

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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.