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Finding the Fourth Proportional to 89,489.86, 123,496.47 and 49,206.22

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Solution

The fourth proportional to 89,489.86, 123,496.47 and 49,206.22 is: 67,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,489.86 : 123,496.47 = 49,206.22 : x
  2. Step 2: Convert to fraction form
    89,489.86/123,496.47 = 49,206.22/x
  3. Step 3: Cross multiply
    89,489.86x = 123,496.47 × 49,206.22
  4. Step 4: Simplify right side
    89,489.86x = 6,076,794,431.94
  5. Step 5: Solve for x
    x = 6,076,794,431.94/89,489.86
  6. Step 6: Final answer
    x = 67,904.84

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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.