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Finding the Fourth Proportional to 113,744, 156,963.36 and 65,994.08

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Solution

The fourth proportional to 113,744, 156,963.36 and 65,994.08 is: 91,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,744 : 156,963.36 = 65,994.08 : x
  2. Step 2: Convert to fraction form
    113,744/156,963.36 = 65,994.08/x
  3. Step 3: Cross multiply
    113,744x = 156,963.36 × 65,994.08
  4. Step 4: Simplify right side
    113,744x = 10,358,652,536.91
  5. Step 5: Solve for x
    x = 10,358,652,536.91/113,744
  6. Step 6: Final answer
    x = 91,069.88

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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.