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Finding the Fourth Proportional to 110,519.80, 165,779.70 and 82,871.80

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Solution

The fourth proportional to 110,519.80, 165,779.70 and 82,871.80 is: 124,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,519.80 : 165,779.70 = 82,871.80 : x
  2. Step 2: Convert to fraction form
    110,519.80/165,779.70 = 82,871.80/x
  3. Step 3: Cross multiply
    110,519.80x = 165,779.70 × 82,871.80
  4. Step 4: Simplify right side
    110,519.80x = 13,738,462,142.46
  5. Step 5: Solve for x
    x = 13,738,462,142.46/110,519.80
  6. Step 6: Final answer
    x = 124,307.70

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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.