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Finding the Fourth Proportional to 135,695.79, 187,137.63 and 84,713.24

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Solution

The fourth proportional to 135,695.79, 187,137.63 and 84,713.24 is: 116,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,695.79 : 187,137.63 = 84,713.24 : x
  2. Step 2: Convert to fraction form
    135,695.79/187,137.63 = 84,713.24/x
  3. Step 3: Cross multiply
    135,695.79x = 187,137.63 × 84,713.24
  4. Step 4: Simplify right side
    135,695.79x = 15,853,035,431.07
  5. Step 5: Solve for x
    x = 15,853,035,431.07/135,695.79
  6. Step 6: Final answer
    x = 116,827.76

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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.