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Finding the Fourth Proportional to 76,728.70, 105,890.44 and 43,196.86

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Solution

The fourth proportional to 76,728.70, 105,890.44 and 43,196.86 is: 59,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,728.70 : 105,890.44 = 43,196.86 : x
  2. Step 2: Convert to fraction form
    76,728.70/105,890.44 = 43,196.86/x
  3. Step 3: Cross multiply
    76,728.70x = 105,890.44 × 43,196.86
  4. Step 4: Simplify right side
    76,728.70x = 4,574,133,982.57
  5. Step 5: Solve for x
    x = 4,574,133,982.57/76,728.70
  6. Step 6: Final answer
    x = 59,614.39

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1.5x scale

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.