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Finding the Fourth Proportional to 45,966.99, 68,978.03 and 19,671.76

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Solution

The fourth proportional to 45,966.99, 68,978.03 and 19,671.76 is: 29,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,966.99 : 68,978.03 = 19,671.76 : x
  2. Step 2: Convert to fraction form
    45,966.99/68,978.03 = 19,671.76/x
  3. Step 3: Cross multiply
    45,966.99x = 68,978.03 × 19,671.76
  4. Step 4: Simplify right side
    45,966.99x = 1,356,919,153.07
  5. Step 5: Solve for x
    x = 1,356,919,153.07/45,966.99
  6. Step 6: Final answer
    x = 29,519.43

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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.