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Finding the Fourth Proportional to 133,963.20, 184,780.80 and 86,140.80

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Solution

The fourth proportional to 133,963.20, 184,780.80 and 86,140.80 is: 118,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,963.20 : 184,780.80 = 86,140.80 : x
  2. Step 2: Convert to fraction form
    133,963.20/184,780.80 = 86,140.80/x
  3. Step 3: Cross multiply
    133,963.20x = 184,780.80 × 86,140.80
  4. Step 4: Simplify right side
    133,963.20x = 15,917,165,936.64
  5. Step 5: Solve for x
    x = 15,917,165,936.64/133,963.20
  6. Step 6: Final answer
    x = 118,817.45

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Why These Related Problems?

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