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Finding the Fourth Proportional to 137,418.05, 189,656.94 and 76,992.78

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Solution

The fourth proportional to 137,418.05, 189,656.94 and 76,992.78 is: 106,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,418.05 : 189,656.94 = 76,992.78 : x
  2. Step 2: Convert to fraction form
    137,418.05/189,656.94 = 76,992.78/x
  3. Step 3: Cross multiply
    137,418.05x = 189,656.94 × 76,992.78
  4. Step 4: Simplify right side
    137,418.05x = 14,602,215,056.89
  5. Step 5: Solve for x
    x = 14,602,215,056.89/137,418.05
  6. Step 6: Final answer
    x = 106,261.26

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1.5x scale

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.