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Finding the Fourth Proportional to 107,584.90, 161,349.90 and 76,288.90

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Solution

The fourth proportional to 107,584.90, 161,349.90 and 76,288.90 is: 114,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,584.90 : 161,349.90 = 76,288.90 : x
  2. Step 2: Convert to fraction form
    107,584.90/161,349.90 = 76,288.90/x
  3. Step 3: Cross multiply
    107,584.90x = 161,349.90 × 76,288.90
  4. Step 4: Simplify right side
    107,584.90x = 12,309,206,386.11
  5. Step 5: Solve for x
    x = 12,309,206,386.11/107,584.90
  6. Step 6: Final answer
    x = 114,413.89

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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.