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Finding the Fourth Proportional to 206,416.80, 309,682.80 and 101,239.20

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Solution

The fourth proportional to 206,416.80, 309,682.80 and 101,239.20 is: 151,887.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.80 : 309,682.80 = 101,239.20 : x
  2. Step 2: Convert to fraction form
    206,416.80/309,682.80 = 101,239.20/x
  3. Step 3: Cross multiply
    206,416.80x = 309,682.80 × 101,239.20
  4. Step 4: Simplify right side
    206,416.80x = 31,352,038,925.76
  5. Step 5: Solve for x
    x = 31,352,038,925.76/206,416.80
  6. Step 6: Final answer
    x = 151,887.05

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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.