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Finding the Fourth Proportional to 134,072.80, 200,590.80 and 87,416.80

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Solution

The fourth proportional to 134,072.80, 200,590.80 and 87,416.80 is: 130,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,072.80 : 200,590.80 = 87,416.80 : x
  2. Step 2: Convert to fraction form
    134,072.80/200,590.80 = 87,416.80/x
  3. Step 3: Cross multiply
    134,072.80x = 200,590.80 × 87,416.80
  4. Step 4: Simplify right side
    134,072.80x = 17,535,005,845.44
  5. Step 5: Solve for x
    x = 17,535,005,845.44/134,072.80
  6. Step 6: Final answer
    x = 130,787.20

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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.