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Finding the Fourth Proportional to 49,120, 67,785.60 and 26,764

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Solution

The fourth proportional to 49,120, 67,785.60 and 26,764 is: 36,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,120 : 67,785.60 = 26,764 : x
  2. Step 2: Convert to fraction form
    49,120/67,785.60 = 26,764/x
  3. Step 3: Cross multiply
    49,120x = 67,785.60 × 26,764
  4. Step 4: Simplify right side
    49,120x = 1,814,213,798.40
  5. Step 5: Solve for x
    x = 1,814,213,798.40/49,120
  6. Step 6: Final answer
    x = 36,934.32

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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.