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Finding the Fourth Proportional to 287,781.12, 431,619.36 and 77,369.92

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Solution

The fourth proportional to 287,781.12, 431,619.36 and 77,369.92 is: 116,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,781.12 : 431,619.36 = 77,369.92 : x
  2. Step 2: Convert to fraction form
    287,781.12/431,619.36 = 77,369.92/x
  3. Step 3: Cross multiply
    287,781.12x = 431,619.36 × 77,369.92
  4. Step 4: Simplify right side
    287,781.12x = 33,394,355,353.65
  5. Step 5: Solve for x
    x = 33,394,355,353.65/287,781.12
  6. Step 6: Final answer
    x = 116,040.81

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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.