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Finding the Fourth Proportional to 201,430.53, 301,873.59 and 76,703.49

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Solution

The fourth proportional to 201,430.53, 301,873.59 and 76,703.49 is: 114,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,430.53 : 301,873.59 = 76,703.49 : x
  2. Step 2: Convert to fraction form
    201,430.53/301,873.59 = 76,703.49/x
  3. Step 3: Cross multiply
    201,430.53x = 301,873.59 × 76,703.49
  4. Step 4: Simplify right side
    201,430.53x = 23,154,757,891.83
  5. Step 5: Solve for x
    x = 23,154,757,891.83/201,430.53
  6. Step 6: Final answer
    x = 114,951.58

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