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Finding the Fourth Proportional to 110,110.88, 165,166.32 and 47,780

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Solution

The fourth proportional to 110,110.88, 165,166.32 and 47,780 is: 71,670

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,110.88 : 165,166.32 = 47,780 : x
  2. Step 2: Convert to fraction form
    110,110.88/165,166.32 = 47,780/x
  3. Step 3: Cross multiply
    110,110.88x = 165,166.32 × 47,780
  4. Step 4: Simplify right side
    110,110.88x = 7,891,646,769.60
  5. Step 5: Solve for x
    x = 7,891,646,769.60/110,110.88
  6. Step 6: Final answer
    x = 71,670

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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.