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Finding the Fourth Proportional to 102,505.20, 153,628.20 and 91,359.60

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Solution

The fourth proportional to 102,505.20, 153,628.20 and 91,359.60 is: 136,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,505.20 : 153,628.20 = 91,359.60 : x
  2. Step 2: Convert to fraction form
    102,505.20/153,628.20 = 91,359.60/x
  3. Step 3: Cross multiply
    102,505.20x = 153,628.20 × 91,359.60
  4. Step 4: Simplify right side
    102,505.20x = 14,035,410,900.72
  5. Step 5: Solve for x
    x = 14,035,410,900.72/102,505.20
  6. Step 6: Final answer
    x = 136,923.89

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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.