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Finding the Fourth Proportional to 76,540, 105,588.40 and 49,690.93

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Solution

The fourth proportional to 76,540, 105,588.40 and 49,690.93 is: 68,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,540 : 105,588.40 = 49,690.93 : x
  2. Step 2: Convert to fraction form
    76,540/105,588.40 = 49,690.93/x
  3. Step 3: Cross multiply
    76,540x = 105,588.40 × 49,690.93
  4. Step 4: Simplify right side
    76,540x = 5,246,785,544.76
  5. Step 5: Solve for x
    x = 5,246,785,544.76/76,540
  6. Step 6: Final answer
    x = 68,549.59

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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.