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Finding the Fourth Proportional to 206,075.60, 309,113.40 and 65,838.80

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Solution

The fourth proportional to 206,075.60, 309,113.40 and 65,838.80 is: 98,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,075.60 : 309,113.40 = 65,838.80 : x
  2. Step 2: Convert to fraction form
    206,075.60/309,113.40 = 65,838.80/x
  3. Step 3: Cross multiply
    206,075.60x = 309,113.40 × 65,838.80
  4. Step 4: Simplify right side
    206,075.60x = 20,351,655,319.92
  5. Step 5: Solve for x
    x = 20,351,655,319.92/206,075.60
  6. Step 6: Final answer
    x = 98,758.20

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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.