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Finding the Fourth Proportional to 76,659.80, 105,730.49 and 49,811.04

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Solution

The fourth proportional to 76,659.80, 105,730.49 and 49,811.04 is: 68,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,659.80 : 105,730.49 = 49,811.04 : x
  2. Step 2: Convert to fraction form
    76,659.80/105,730.49 = 49,811.04/x
  3. Step 3: Cross multiply
    76,659.80x = 105,730.49 × 49,811.04
  4. Step 4: Simplify right side
    76,659.80x = 5,266,545,417.55
  5. Step 5: Solve for x
    x = 5,266,545,417.55/76,659.80
  6. Step 6: Final answer
    x = 68,700.23

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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.