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Finding the Fourth Proportional to 207,027, 285,914.12 and 142,663.59

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Solution

The fourth proportional to 207,027, 285,914.12 and 142,663.59 is: 197,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,027 : 285,914.12 = 142,663.59 : x
  2. Step 2: Convert to fraction form
    207,027/285,914.12 = 142,663.59/x
  3. Step 3: Cross multiply
    207,027x = 285,914.12 × 142,663.59
  4. Step 4: Simplify right side
    207,027x = 40,789,534,077.57
  5. Step 5: Solve for x
    x = 40,789,534,077.57/207,027
  6. Step 6: Final answer
    x = 197,025.19

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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.