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Finding the Fourth Proportional to 133,532.80, 199,780.80 and 86,876.80

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Solution

The fourth proportional to 133,532.80, 199,780.80 and 86,876.80 is: 129,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,532.80 : 199,780.80 = 86,876.80 : x
  2. Step 2: Convert to fraction form
    133,532.80/199,780.80 = 86,876.80/x
  3. Step 3: Cross multiply
    133,532.80x = 199,780.80 × 86,876.80
  4. Step 4: Simplify right side
    133,532.80x = 17,356,316,605.44
  5. Step 5: Solve for x
    x = 17,356,316,605.44/133,532.80
  6. Step 6: Final answer
    x = 129,977.93

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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.