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Finding the Fourth Proportional to 206,289.12, 309,492.24 and 101,138.40

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Solution

The fourth proportional to 206,289.12, 309,492.24 and 101,138.40 is: 151,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,289.12 : 309,492.24 = 101,138.40 : x
  2. Step 2: Convert to fraction form
    206,289.12/309,492.24 = 101,138.40/x
  3. Step 3: Cross multiply
    206,289.12x = 309,492.24 × 101,138.40
  4. Step 4: Simplify right side
    206,289.12x = 31,301,549,966.02
  5. Step 5: Solve for x
    x = 31,301,549,966.02/206,289.12
  6. Step 6: Final answer
    x = 151,736.31

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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.