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Finding the Fourth Proportional to 153,936.80, 230,938.80 and 87,408.80

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Solution

The fourth proportional to 153,936.80, 230,938.80 and 87,408.80 is: 131,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,936.80 : 230,938.80 = 87,408.80 : x
  2. Step 2: Convert to fraction form
    153,936.80/230,938.80 = 87,408.80/x
  3. Step 3: Cross multiply
    153,936.80x = 230,938.80 × 87,408.80
  4. Step 4: Simplify right side
    153,936.80x = 20,186,083,381.44
  5. Step 5: Solve for x
    x = 20,186,083,381.44/153,936.80
  6. Step 6: Final answer
    x = 131,132.28

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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.