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Finding the Fourth Proportional to 206,612.63, 285,103.52 and 115,978.57

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Solution

The fourth proportional to 206,612.63, 285,103.52 and 115,978.57 is: 160,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,612.63 : 285,103.52 = 115,978.57 : x
  2. Step 2: Convert to fraction form
    206,612.63/285,103.52 = 115,978.57/x
  3. Step 3: Cross multiply
    206,612.63x = 285,103.52 × 115,978.57
  4. Step 4: Simplify right side
    206,612.63x = 33,065,898,020.02
  5. Step 5: Solve for x
    x = 33,065,898,020.02/206,612.63
  6. Step 6: Final answer
    x = 160,038.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.