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Finding the Fourth Proportional to 134,824, 186,057.12 and 75,208

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Solution

The fourth proportional to 134,824, 186,057.12 and 75,208 is: 103,787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,824 : 186,057.12 = 75,208 : x
  2. Step 2: Convert to fraction form
    134,824/186,057.12 = 75,208/x
  3. Step 3: Cross multiply
    134,824x = 186,057.12 × 75,208
  4. Step 4: Simplify right side
    134,824x = 13,992,983,880.96
  5. Step 5: Solve for x
    x = 13,992,983,880.96/134,824
  6. Step 6: Final answer
    x = 103,787.04

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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.