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Finding the Fourth Proportional to 137,187.84, 189,308.43 and 76,753.74

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Solution

The fourth proportional to 137,187.84, 189,308.43 and 76,753.74 is: 105,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,187.84 : 189,308.43 = 76,753.74 : x
  2. Step 2: Convert to fraction form
    137,187.84/189,308.43 = 76,753.74/x
  3. Step 3: Cross multiply
    137,187.84x = 189,308.43 × 76,753.74
  4. Step 4: Simplify right side
    137,187.84x = 14,530,130,016.03
  5. Step 5: Solve for x
    x = 14,530,130,016.03/137,187.84
  6. Step 6: Final answer
    x = 105,914.12

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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.