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Finding the Fourth Proportional to 110,419.20, 165,628.80 and 77,068.80

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Solution

The fourth proportional to 110,419.20, 165,628.80 and 77,068.80 is: 115,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,419.20 : 165,628.80 = 77,068.80 : x
  2. Step 2: Convert to fraction form
    110,419.20/165,628.80 = 77,068.80/x
  3. Step 3: Cross multiply
    110,419.20x = 165,628.80 × 77,068.80
  4. Step 4: Simplify right side
    110,419.20x = 12,764,812,861.44
  5. Step 5: Solve for x
    x = 12,764,812,861.44/110,419.20
  6. Step 6: Final answer
    x = 115,603.20

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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.