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Finding the Fourth Proportional to 84,021.80, 115,945.71 and 52,190.06

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Solution

The fourth proportional to 84,021.80, 115,945.71 and 52,190.06 is: 72,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,021.80 : 115,945.71 = 52,190.06 : x
  2. Step 2: Convert to fraction form
    84,021.80/115,945.71 = 52,190.06/x
  3. Step 3: Cross multiply
    84,021.80x = 115,945.71 × 52,190.06
  4. Step 4: Simplify right side
    84,021.80x = 6,051,213,561.64
  5. Step 5: Solve for x
    x = 6,051,213,561.64/84,021.80
  6. Step 6: Final answer
    x = 72,019.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.