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Finding the Fourth Proportional to 84,057.50, 115,954.27 and 53,810.28

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Solution

The fourth proportional to 84,057.50, 115,954.27 and 53,810.28 is: 74,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,057.50 : 115,954.27 = 53,810.28 : x
  2. Step 2: Convert to fraction form
    84,057.50/115,954.27 = 53,810.28/x
  3. Step 3: Cross multiply
    84,057.50x = 115,954.27 × 53,810.28
  4. Step 4: Simplify right side
    84,057.50x = 6,239,531,601.37
  5. Step 5: Solve for x
    x = 6,239,531,601.37/84,057.50
  6. Step 6: Final answer
    x = 74,229.32

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1.5x scale

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.