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Finding the Fourth Proportional to 76,655.70, 105,724.84 and 49,806.94

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Solution

The fourth proportional to 76,655.70, 105,724.84 and 49,806.94 is: 68,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,655.70 : 105,724.84 = 49,806.94 : x
  2. Step 2: Convert to fraction form
    76,655.70/105,724.84 = 49,806.94/x
  3. Step 3: Cross multiply
    76,655.70x = 105,724.84 × 49,806.94
  4. Step 4: Simplify right side
    76,655.70x = 5,265,830,762.39
  5. Step 5: Solve for x
    x = 5,265,830,762.39/76,655.70
  6. Step 6: Final answer
    x = 68,694.58

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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.