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Finding the Fourth Proportional to 137,160.98, 189,274.52 and 76,719.96

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Solution

The fourth proportional to 137,160.98, 189,274.52 and 76,719.96 is: 105,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,160.98 : 189,274.52 = 76,719.96 : x
  2. Step 2: Convert to fraction form
    137,160.98/189,274.52 = 76,719.96/x
  3. Step 3: Cross multiply
    137,160.98x = 189,274.52 × 76,719.96
  4. Step 4: Simplify right side
    137,160.98x = 14,521,133,795.22
  5. Step 5: Solve for x
    x = 14,521,133,795.22/137,160.98
  6. Step 6: Final answer
    x = 105,869.28

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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.