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Finding the Fourth Proportional to 114,206.38, 157,755.36 and 87,676.72

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Solution

The fourth proportional to 114,206.38, 157,755.36 and 87,676.72 is: 121,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,206.38 : 157,755.36 = 87,676.72 : x
  2. Step 2: Convert to fraction form
    114,206.38/157,755.36 = 87,676.72/x
  3. Step 3: Cross multiply
    114,206.38x = 157,755.36 × 87,676.72
  4. Step 4: Simplify right side
    114,206.38x = 13,831,472,527.22
  5. Step 5: Solve for x
    x = 13,831,472,527.22/114,206.38
  6. Step 6: Final answer
    x = 121,109.46

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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.