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Finding the Fourth Proportional to 76,643.84, 105,743.76 and 49,808

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Solution

The fourth proportional to 76,643.84, 105,743.76 and 49,808 is: 68,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,643.84 : 105,743.76 = 49,808 : x
  2. Step 2: Convert to fraction form
    76,643.84/105,743.76 = 49,808/x
  3. Step 3: Cross multiply
    76,643.84x = 105,743.76 × 49,808
  4. Step 4: Simplify right side
    76,643.84x = 5,266,885,198.08
  5. Step 5: Solve for x
    x = 5,266,885,198.08/76,643.84
  6. Step 6: Final answer
    x = 68,718.96

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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.