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Finding the Fourth Proportional to 137,409, 189,569.82 and 85,695.67

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Solution

The fourth proportional to 137,409, 189,569.82 and 85,695.67 is: 118,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,409 : 189,569.82 = 85,695.67 : x
  2. Step 2: Convert to fraction form
    137,409/189,569.82 = 85,695.67/x
  3. Step 3: Cross multiply
    137,409x = 189,569.82 × 85,695.67
  4. Step 4: Simplify right side
    137,409x = 16,245,312,736.68
  5. Step 5: Solve for x
    x = 16,245,312,736.68/137,409
  6. Step 6: Final answer
    x = 118,225.97

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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.