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Finding the Fourth Proportional to 114,138.50, 157,522.92 and 65,742.04

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Solution

The fourth proportional to 114,138.50, 157,522.92 and 65,742.04 is: 90,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,138.50 : 157,522.92 = 65,742.04 : x
  2. Step 2: Convert to fraction form
    114,138.50/157,522.92 = 65,742.04/x
  3. Step 3: Cross multiply
    114,138.50x = 157,522.92 × 65,742.04
  4. Step 4: Simplify right side
    114,138.50x = 10,355,878,107.56
  5. Step 5: Solve for x
    x = 10,355,878,107.56/114,138.50
  6. Step 6: Final answer
    x = 90,730.81

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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.