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Finding the Fourth Proportional to 109,603.80, 164,405.70 and 85,984.20

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Solution

The fourth proportional to 109,603.80, 164,405.70 and 85,984.20 is: 128,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,603.80 : 164,405.70 = 85,984.20 : x
  2. Step 2: Convert to fraction form
    109,603.80/164,405.70 = 85,984.20/x
  3. Step 3: Cross multiply
    109,603.80x = 164,405.70 × 85,984.20
  4. Step 4: Simplify right side
    109,603.80x = 14,136,292,589.94
  5. Step 5: Solve for x
    x = 14,136,292,589.94/109,603.80
  6. Step 6: Final answer
    x = 128,976.30

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1.5x scale

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.