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Finding the Fourth Proportional to 82,810.98, 114,212.70 and 54,128.34

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Solution

The fourth proportional to 82,810.98, 114,212.70 and 54,128.34 is: 74,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,810.98 : 114,212.70 = 54,128.34 : x
  2. Step 2: Convert to fraction form
    82,810.98/114,212.70 = 54,128.34/x
  3. Step 3: Cross multiply
    82,810.98x = 114,212.70 × 54,128.34
  4. Step 4: Simplify right side
    82,810.98x = 6,182,143,857.92
  5. Step 5: Solve for x
    x = 6,182,143,857.92/82,810.98
  6. Step 6: Final answer
    x = 74,653.67

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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.