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Finding the Fourth Proportional to 77,121, 115,681.50 and 27,873

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Solution

The fourth proportional to 77,121, 115,681.50 and 27,873 is: 41,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,121 : 115,681.50 = 27,873 : x
  2. Step 2: Convert to fraction form
    77,121/115,681.50 = 27,873/x
  3. Step 3: Cross multiply
    77,121x = 115,681.50 × 27,873
  4. Step 4: Simplify right side
    77,121x = 3,224,390,449.50
  5. Step 5: Solve for x
    x = 3,224,390,449.50/77,121
  6. Step 6: Final answer
    x = 41,809.50

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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.