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Finding the Fourth Proportional to 82,111.80, 122,973.30 and 55,673.40

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Solution

The fourth proportional to 82,111.80, 122,973.30 and 55,673.40 is: 83,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111.80 : 122,973.30 = 55,673.40 : x
  2. Step 2: Convert to fraction form
    82,111.80/122,973.30 = 55,673.40/x
  3. Step 3: Cross multiply
    82,111.80x = 122,973.30 × 55,673.40
  4. Step 4: Simplify right side
    82,111.80x = 6,846,341,720.22
  5. Step 5: Solve for x
    x = 6,846,341,720.22/82,111.80
  6. Step 6: Final answer
    x = 83,378.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.