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Finding the Fourth Proportional to 89,785.86, 123,904.80 and 49,498.74

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Solution

The fourth proportional to 89,785.86, 123,904.80 and 49,498.74 is: 68,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,785.86 : 123,904.80 = 49,498.74 : x
  2. Step 2: Convert to fraction form
    89,785.86/123,904.80 = 49,498.74/x
  3. Step 3: Cross multiply
    89,785.86x = 123,904.80 × 49,498.74
  4. Step 4: Simplify right side
    89,785.86x = 6,133,131,479.95
  5. Step 5: Solve for x
    x = 6,133,131,479.95/89,785.86
  6. Step 6: Final answer
    x = 68,308.43

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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.