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Finding the Fourth Proportional to 114,291.90, 171,604.31 and 84,398.38

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Solution

The fourth proportional to 114,291.90, 171,604.31 and 84,398.38 is: 126,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,291.90 : 171,604.31 = 84,398.38 : x
  2. Step 2: Convert to fraction form
    114,291.90/171,604.31 = 84,398.38/x
  3. Step 3: Cross multiply
    114,291.90x = 171,604.31 × 84,398.38
  4. Step 4: Simplify right side
    114,291.90x = 14,483,124,914.02
  5. Step 5: Solve for x
    x = 14,483,124,914.02/114,291.90
  6. Step 6: Final answer
    x = 126,720.48

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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.