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Finding the Fourth Proportional to 77,062, 115,593 and 21,658

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Solution

The fourth proportional to 77,062, 115,593 and 21,658 is: 32,487

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,062 : 115,593 = 21,658 : x
  2. Step 2: Convert to fraction form
    77,062/115,593 = 21,658/x
  3. Step 3: Cross multiply
    77,062x = 115,593 × 21,658
  4. Step 4: Simplify right side
    77,062x = 2,503,513,194
  5. Step 5: Solve for x
    x = 2,503,513,194/77,062
  6. Step 6: Final answer
    x = 32,487

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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.