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Finding the Fourth Proportional to 110,216.70, 165,033.45 and 86,694.30

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Solution

The fourth proportional to 110,216.70, 165,033.45 and 86,694.30 is: 129,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,216.70 : 165,033.45 = 86,694.30 : x
  2. Step 2: Convert to fraction form
    110,216.70/165,033.45 = 86,694.30/x
  3. Step 3: Cross multiply
    110,216.70x = 165,033.45 × 86,694.30
  4. Step 4: Simplify right side
    110,216.70x = 14,307,459,424.34
  5. Step 5: Solve for x
    x = 14,307,459,424.34/110,216.70
  6. Step 6: Final answer
    x = 129,812.08

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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.