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Finding the Fourth Proportional to 135,695.70, 187,137.51 and 84,713.18

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Solution

The fourth proportional to 135,695.70, 187,137.51 and 84,713.18 is: 116,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,695.70 : 187,137.51 = 84,713.18 : x
  2. Step 2: Convert to fraction form
    135,695.70/187,137.51 = 84,713.18/x
  3. Step 3: Cross multiply
    135,695.70x = 187,137.51 × 84,713.18
  4. Step 4: Simplify right side
    135,695.70x = 15,853,012,633.69
  5. Step 5: Solve for x
    x = 15,853,012,633.69/135,695.70
  6. Step 6: Final answer
    x = 116,827.67

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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.