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Finding the Fourth Proportional to 152,991.96, 211,125.69 and 85,004.97

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Solution

The fourth proportional to 152,991.96, 211,125.69 and 85,004.97 is: 117,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,991.96 : 211,125.69 = 85,004.97 : x
  2. Step 2: Convert to fraction form
    152,991.96/211,125.69 = 85,004.97/x
  3. Step 3: Cross multiply
    152,991.96x = 211,125.69 × 85,004.97
  4. Step 4: Simplify right side
    152,991.96x = 17,946,732,944.68
  5. Step 5: Solve for x
    x = 17,946,732,944.68/152,991.96
  6. Step 6: Final answer
    x = 117,305.07

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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.