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Finding the Fourth Proportional to 133,567.87, 184,321.92 and 76,205.71

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Solution

The fourth proportional to 133,567.87, 184,321.92 and 76,205.71 is: 105,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,567.87 : 184,321.92 = 76,205.71 : x
  2. Step 2: Convert to fraction form
    133,567.87/184,321.92 = 76,205.71/x
  3. Step 3: Cross multiply
    133,567.87x = 184,321.92 × 76,205.71
  4. Step 4: Simplify right side
    133,567.87x = 14,046,382,782.16
  5. Step 5: Solve for x
    x = 14,046,382,782.16/133,567.87
  6. Step 6: Final answer
    x = 105,162.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.