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Finding the Fourth Proportional to 101,991.53, 152,765.76 and 49,290.50

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Solution

The fourth proportional to 101,991.53, 152,765.76 and 49,290.50 is: 73,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,991.53 : 152,765.76 = 49,290.50 : x
  2. Step 2: Convert to fraction form
    101,991.53/152,765.76 = 49,290.50/x
  3. Step 3: Cross multiply
    101,991.53x = 152,765.76 × 49,290.50
  4. Step 4: Simplify right side
    101,991.53x = 7,529,900,693.28
  5. Step 5: Solve for x
    x = 7,529,900,693.28/101,991.53
  6. Step 6: Final answer
    x = 73,828.69

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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.