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Finding the Fourth Proportional to 206,745, 285,308.12 and 116,101.02

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Solution

The fourth proportional to 206,745, 285,308.12 and 116,101.02 is: 160,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,745 : 285,308.12 = 116,101.02 : x
  2. Step 2: Convert to fraction form
    206,745/285,308.12 = 116,101.02/x
  3. Step 3: Cross multiply
    206,745x = 285,308.12 × 116,101.02
  4. Step 4: Simplify right side
    206,745x = 33,124,563,746.28
  5. Step 5: Solve for x
    x = 33,124,563,746.28/206,745
  6. Step 6: Final answer
    x = 160,219.42

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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.