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Finding the Fourth Proportional to 110,509.48, 165,763 and 66,148.60

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Solution

The fourth proportional to 110,509.48, 165,763 and 66,148.60 is: 99,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,509.48 : 165,763 = 66,148.60 : x
  2. Step 2: Convert to fraction form
    110,509.48/165,763 = 66,148.60/x
  3. Step 3: Cross multiply
    110,509.48x = 165,763 × 66,148.60
  4. Step 4: Simplify right side
    110,509.48x = 10,964,990,381.80
  5. Step 5: Solve for x
    x = 10,964,990,381.80/110,509.48
  6. Step 6: Final answer
    x = 99,222.17

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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.