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Finding the Fourth Proportional to 76,880, 115,327.56 and 21,476

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Solution

The fourth proportional to 76,880, 115,327.56 and 21,476 is: 32,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,880 : 115,327.56 = 21,476 : x
  2. Step 2: Convert to fraction form
    76,880/115,327.56 = 21,476/x
  3. Step 3: Cross multiply
    76,880x = 115,327.56 × 21,476
  4. Step 4: Simplify right side
    76,880x = 2,476,774,678.56
  5. Step 5: Solve for x
    x = 2,476,774,678.56/76,880
  6. Step 6: Final answer
    x = 32,216.11

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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.