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Finding the Fourth Proportional to 70,228.69, 105,321.16 and 23,470.63

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Solution

The fourth proportional to 70,228.69, 105,321.16 and 23,470.63 is: 35,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,228.69 : 105,321.16 = 23,470.63 : x
  2. Step 2: Convert to fraction form
    70,228.69/105,321.16 = 23,470.63/x
  3. Step 3: Cross multiply
    70,228.69x = 105,321.16 × 23,470.63
  4. Step 4: Simplify right side
    70,228.69x = 2,471,953,977.53
  5. Step 5: Solve for x
    x = 2,471,953,977.53/70,228.69
  6. Step 6: Final answer
    x = 35,198.63

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1.5x scale

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.