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Finding the Fourth Proportional to 110,722.60, 165,913.80 and 82,510.30

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Solution

The fourth proportional to 110,722.60, 165,913.80 and 82,510.30 is: 123,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,722.60 : 165,913.80 = 82,510.30 : x
  2. Step 2: Convert to fraction form
    110,722.60/165,913.80 = 82,510.30/x
  3. Step 3: Cross multiply
    110,722.60x = 165,913.80 × 82,510.30
  4. Step 4: Simplify right side
    110,722.60x = 13,689,597,412.14
  5. Step 5: Solve for x
    x = 13,689,597,412.14/110,722.60
  6. Step 6: Final answer
    x = 123,638.69

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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.