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Finding the Fourth Proportional to 136,082, 187,799.56 and 75,653.64

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Solution

The fourth proportional to 136,082, 187,799.56 and 75,653.64 is: 104,405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,082 : 187,799.56 = 75,653.64 : x
  2. Step 2: Convert to fraction form
    136,082/187,799.56 = 75,653.64/x
  3. Step 3: Cross multiply
    136,082x = 187,799.56 × 75,653.64
  4. Step 4: Simplify right side
    136,082x = 14,207,720,304.40
  5. Step 5: Solve for x
    x = 14,207,720,304.40/136,082
  6. Step 6: Final answer
    x = 104,405.58

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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.