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Finding the Fourth Proportional to 206,090.40, 309,106.80 and 65,863.20

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Solution

The fourth proportional to 206,090.40, 309,106.80 and 65,863.20 is: 98,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,090.40 : 309,106.80 = 65,863.20 : x
  2. Step 2: Convert to fraction form
    206,090.40/309,106.80 = 65,863.20/x
  3. Step 3: Cross multiply
    206,090.40x = 309,106.80 × 65,863.20
  4. Step 4: Simplify right side
    206,090.40x = 20,358,762,989.76
  5. Step 5: Solve for x
    x = 20,358,762,989.76/206,090.40
  6. Step 6: Final answer
    x = 98,785.60

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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.