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Finding the Fourth Proportional to 77,185, 115,777.50 and 21,781

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Solution

The fourth proportional to 77,185, 115,777.50 and 21,781 is: 32,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,185 : 115,777.50 = 21,781 : x
  2. Step 2: Convert to fraction form
    77,185/115,777.50 = 21,781/x
  3. Step 3: Cross multiply
    77,185x = 115,777.50 × 21,781
  4. Step 4: Simplify right side
    77,185x = 2,521,749,727.50
  5. Step 5: Solve for x
    x = 2,521,749,727.50/77,185
  6. Step 6: Final answer
    x = 32,671.50

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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.