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Finding the Fourth Proportional to 109,970.70, 165,038.98 and 80,464.66

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Solution

The fourth proportional to 109,970.70, 165,038.98 and 80,464.66 is: 120,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,970.70 : 165,038.98 = 80,464.66 : x
  2. Step 2: Convert to fraction form
    109,970.70/165,038.98 = 80,464.66/x
  3. Step 3: Cross multiply
    109,970.70x = 165,038.98 × 80,464.66
  4. Step 4: Simplify right side
    109,970.70x = 13,279,805,412.45
  5. Step 5: Solve for x
    x = 13,279,805,412.45/109,970.70
  6. Step 6: Final answer
    x = 120,757.67

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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.