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Finding the Fourth Proportional to 205,114.80, 307,704.72 and 86,787

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Solution

The fourth proportional to 205,114.80, 307,704.72 and 86,787 is: 130,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,114.80 : 307,704.72 = 86,787 : x
  2. Step 2: Convert to fraction form
    205,114.80/307,704.72 = 86,787/x
  3. Step 3: Cross multiply
    205,114.80x = 307,704.72 × 86,787
  4. Step 4: Simplify right side
    205,114.80x = 26,704,769,534.64
  5. Step 5: Solve for x
    x = 26,704,769,534.64/205,114.80
  6. Step 6: Final answer
    x = 130,194.26

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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.