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Finding the Fourth Proportional to 110,120.45, 165,237.17 and 53,959.50

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Solution

The fourth proportional to 110,120.45, 165,237.17 and 53,959.50 is: 80,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,120.45 : 165,237.17 = 53,959.50 : x
  2. Step 2: Convert to fraction form
    110,120.45/165,237.17 = 53,959.50/x
  3. Step 3: Cross multiply
    110,120.45x = 165,237.17 × 53,959.50
  4. Step 4: Simplify right side
    110,120.45x = 8,916,114,804.82
  5. Step 5: Solve for x
    x = 8,916,114,804.82/110,120.45
  6. Step 6: Final answer
    x = 80,966.93

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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.