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Finding the Fourth Proportional to 206,187.60, 284,558.88 and 115,558.92

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Solution

The fourth proportional to 206,187.60, 284,558.88 and 115,558.92 is: 159,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,187.60 : 284,558.88 = 115,558.92 : x
  2. Step 2: Convert to fraction form
    206,187.60/284,558.88 = 115,558.92/x
  3. Step 3: Cross multiply
    206,187.60x = 284,558.88 × 115,558.92
  4. Step 4: Simplify right side
    206,187.60x = 32,883,316,849.21
  5. Step 5: Solve for x
    x = 32,883,316,849.21/206,187.60
  6. Step 6: Final answer
    x = 159,482.51

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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.