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Finding the Fourth Proportional to 102,003.20, 152,713.20 and 91,505.60

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Solution

The fourth proportional to 102,003.20, 152,713.20 and 91,505.60 is: 136,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.20 : 152,713.20 = 91,505.60 : x
  2. Step 2: Convert to fraction form
    102,003.20/152,713.20 = 91,505.60/x
  3. Step 3: Cross multiply
    102,003.20x = 152,713.20 × 91,505.60
  4. Step 4: Simplify right side
    102,003.20x = 13,974,112,993.92
  5. Step 5: Solve for x
    x = 13,974,112,993.92/102,003.20
  6. Step 6: Final answer
    x = 136,996.81

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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.