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Finding the Fourth Proportional to 137,158.68, 189,274.58 and 76,728.03

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Solution

The fourth proportional to 137,158.68, 189,274.58 and 76,728.03 is: 105,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,158.68 : 189,274.58 = 76,728.03 : x
  2. Step 2: Convert to fraction form
    137,158.68/189,274.58 = 76,728.03/x
  3. Step 3: Cross multiply
    137,158.68x = 189,274.58 × 76,728.03
  4. Step 4: Simplify right side
    137,158.68x = 14,522,664,846.79
  5. Step 5: Solve for x
    x = 14,522,664,846.79/137,158.68
  6. Step 6: Final answer
    x = 105,882.21

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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.