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Finding the Fourth Proportional to 82,914.80, 114,422.80 and 47,106.78

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Solution

The fourth proportional to 82,914.80, 114,422.80 and 47,106.78 is: 65,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,914.80 : 114,422.80 = 47,106.78 : x
  2. Step 2: Convert to fraction form
    82,914.80/114,422.80 = 47,106.78/x
  3. Step 3: Cross multiply
    82,914.80x = 114,422.80 × 47,106.78
  4. Step 4: Simplify right side
    82,914.80x = 5,390,089,666.58
  5. Step 5: Solve for x
    x = 5,390,089,666.58/82,914.80
  6. Step 6: Final answer
    x = 65,007.57

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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.