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Finding the Fourth Proportional to 137,157.72, 189,268.80 and 76,717.92

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Solution

The fourth proportional to 137,157.72, 189,268.80 and 76,717.92 is: 105,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,157.72 : 189,268.80 = 76,717.92 : x
  2. Step 2: Convert to fraction form
    137,157.72/189,268.80 = 76,717.92/x
  3. Step 3: Cross multiply
    137,157.72x = 189,268.80 × 76,717.92
  4. Step 4: Simplify right side
    137,157.72x = 14,520,308,656.90
  5. Step 5: Solve for x
    x = 14,520,308,656.90/137,157.72
  6. Step 6: Final answer
    x = 105,865.78

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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.