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Finding the Fourth Proportional to 109,970.21, 165,038.22 and 80,464.16

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Solution

The fourth proportional to 109,970.21, 165,038.22 and 80,464.16 is: 120,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,970.21 : 165,038.22 = 80,464.16 : x
  2. Step 2: Convert to fraction form
    109,970.21/165,038.22 = 80,464.16/x
  3. Step 3: Cross multiply
    109,970.21x = 165,038.22 × 80,464.16
  4. Step 4: Simplify right side
    109,970.21x = 13,279,660,915.00
  5. Step 5: Solve for x
    x = 13,279,660,915.00/109,970.21
  6. Step 6: Final answer
    x = 120,756.90

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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.