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Finding the Fourth Proportional to 70,977.52, 106,454.76 and 21,718

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Solution

The fourth proportional to 70,977.52, 106,454.76 and 21,718 is: 32,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,977.52 : 106,454.76 = 21,718 : x
  2. Step 2: Convert to fraction form
    70,977.52/106,454.76 = 21,718/x
  3. Step 3: Cross multiply
    70,977.52x = 106,454.76 × 21,718
  4. Step 4: Simplify right side
    70,977.52x = 2,311,984,477.68
  5. Step 5: Solve for x
    x = 2,311,984,477.68/70,977.52
  6. Step 6: Final answer
    x = 32,573.48

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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.