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Finding the Fourth Proportional to 152,991.92, 228,996.48 and 81,736.40

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Solution

The fourth proportional to 152,991.92, 228,996.48 and 81,736.40 is: 122,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,991.92 : 228,996.48 = 81,736.40 : x
  2. Step 2: Convert to fraction form
    152,991.92/228,996.48 = 81,736.40/x
  3. Step 3: Cross multiply
    152,991.92x = 228,996.48 × 81,736.40
  4. Step 4: Simplify right side
    152,991.92x = 18,717,347,887.87
  5. Step 5: Solve for x
    x = 18,717,347,887.87/152,991.92
  6. Step 6: Final answer
    x = 122,342.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.