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Finding the Fourth Proportional to 76,620.94, 114,931.41 and 21,216.94

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Solution

The fourth proportional to 76,620.94, 114,931.41 and 21,216.94 is: 31,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,620.94 : 114,931.41 = 21,216.94 : x
  2. Step 2: Convert to fraction form
    76,620.94/114,931.41 = 21,216.94/x
  3. Step 3: Cross multiply
    76,620.94x = 114,931.41 × 21,216.94
  4. Step 4: Simplify right side
    76,620.94x = 2,438,492,463.19
  5. Step 5: Solve for x
    x = 2,438,492,463.19/76,620.94
  6. Step 6: Final answer
    x = 31,825.41

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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.