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Finding the Fourth Proportional to 206,349.86, 309,612.28 and 112,746.26

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Solution

The fourth proportional to 206,349.86, 309,612.28 and 112,746.26 is: 169,167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,349.86 : 309,612.28 = 112,746.26 : x
  2. Step 2: Convert to fraction form
    206,349.86/309,612.28 = 112,746.26/x
  3. Step 3: Cross multiply
    206,349.86x = 309,612.28 × 112,746.26
  4. Step 4: Simplify right side
    206,349.86x = 34,907,626,620.07
  5. Step 5: Solve for x
    x = 34,907,626,620.07/206,349.86
  6. Step 6: Final answer
    x = 169,167.19

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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.