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Finding the Fourth Proportional to 77,279, 115,918.50 and 21,875

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Solution

The fourth proportional to 77,279, 115,918.50 and 21,875 is: 32,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,279 : 115,918.50 = 21,875 : x
  2. Step 2: Convert to fraction form
    77,279/115,918.50 = 21,875/x
  3. Step 3: Cross multiply
    77,279x = 115,918.50 × 21,875
  4. Step 4: Simplify right side
    77,279x = 2,535,717,187.50
  5. Step 5: Solve for x
    x = 2,535,717,187.50/77,279
  6. Step 6: Final answer
    x = 32,812.50

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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.