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Finding the Fourth Proportional to 77,010, 115,515 and 27,762

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Solution

The fourth proportional to 77,010, 115,515 and 27,762 is: 41,643

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,010 : 115,515 = 27,762 : x
  2. Step 2: Convert to fraction form
    77,010/115,515 = 27,762/x
  3. Step 3: Cross multiply
    77,010x = 115,515 × 27,762
  4. Step 4: Simplify right side
    77,010x = 3,206,927,430
  5. Step 5: Solve for x
    x = 3,206,927,430/77,010
  6. Step 6: Final answer
    x = 41,643

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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.