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Finding the Fourth Proportional to 154,381.88, 213,046.99 and 83,725.88

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Solution

The fourth proportional to 154,381.88, 213,046.99 and 83,725.88 is: 115,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,381.88 : 213,046.99 = 83,725.88 : x
  2. Step 2: Convert to fraction form
    154,381.88/213,046.99 = 83,725.88/x
  3. Step 3: Cross multiply
    154,381.88x = 213,046.99 × 83,725.88
  4. Step 4: Simplify right side
    154,381.88x = 17,837,545,444.55
  5. Step 5: Solve for x
    x = 17,837,545,444.55/154,381.88
  6. Step 6: Final answer
    x = 115,541.71

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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.