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Finding the Fourth Proportional to 89,709, 123,804.09 and 49,422.84

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Solution

The fourth proportional to 89,709, 123,804.09 and 49,422.84 is: 68,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,709 : 123,804.09 = 49,422.84 : x
  2. Step 2: Convert to fraction form
    89,709/123,804.09 = 49,422.84/x
  3. Step 3: Cross multiply
    89,709x = 123,804.09 × 49,422.84
  4. Step 4: Simplify right side
    89,709x = 6,118,749,731.42
  5. Step 5: Solve for x
    x = 6,118,749,731.42/89,709
  6. Step 6: Final answer
    x = 68,206.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.