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Finding the Fourth Proportional to 105,887.64, 146,132.64 and 70,015.44

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Solution

The fourth proportional to 105,887.64, 146,132.64 and 70,015.44 is: 96,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,887.64 : 146,132.64 = 70,015.44 : x
  2. Step 2: Convert to fraction form
    105,887.64/146,132.64 = 70,015.44/x
  3. Step 3: Cross multiply
    105,887.64x = 146,132.64 × 70,015.44
  4. Step 4: Simplify right side
    105,887.64x = 10,231,541,087.96
  5. Step 5: Solve for x
    x = 10,231,541,087.96/105,887.64
  6. Step 6: Final answer
    x = 96,626.40

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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.