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Finding the Fourth Proportional to 70,671.63, 105,981.53 and 20,738.91

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Solution

The fourth proportional to 70,671.63, 105,981.53 and 20,738.91 is: 31,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,671.63 : 105,981.53 = 20,738.91 : x
  2. Step 2: Convert to fraction form
    70,671.63/105,981.53 = 20,738.91/x
  3. Step 3: Cross multiply
    70,671.63x = 105,981.53 × 20,738.91
  4. Step 4: Simplify right side
    70,671.63x = 2,197,941,308.64
  5. Step 5: Solve for x
    x = 2,197,941,308.64/70,671.63
  6. Step 6: Final answer
    x = 31,100.76

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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.