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Finding the Fourth Proportional to 206,075.60, 309,127.80 and 81,400.40

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Solution

The fourth proportional to 206,075.60, 309,127.80 and 81,400.40 is: 122,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,075.60 : 309,127.80 = 81,400.40 : x
  2. Step 2: Convert to fraction form
    206,075.60/309,127.80 = 81,400.40/x
  3. Step 3: Cross multiply
    206,075.60x = 309,127.80 × 81,400.40
  4. Step 4: Simplify right side
    206,075.60x = 25,163,126,571.12
  5. Step 5: Solve for x
    x = 25,163,126,571.12/206,075.60
  6. Step 6: Final answer
    x = 122,106.29

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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.