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Finding the Fourth Proportional to 76,170.36, 105,102.58 and 47,856

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Solution

The fourth proportional to 76,170.36, 105,102.58 and 47,856 is: 66,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,170.36 : 105,102.58 = 47,856 : x
  2. Step 2: Convert to fraction form
    76,170.36/105,102.58 = 47,856/x
  3. Step 3: Cross multiply
    76,170.36x = 105,102.58 × 47,856
  4. Step 4: Simplify right side
    76,170.36x = 5,029,789,068.48
  5. Step 5: Solve for x
    x = 5,029,789,068.48/76,170.36
  6. Step 6: Final answer
    x = 66,033.42

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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.