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Finding the Fourth Proportional to 115,939.96, 160,001.10 and 64,954.84

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Solution

The fourth proportional to 115,939.96, 160,001.10 and 64,954.84 is: 89,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,939.96 : 160,001.10 = 64,954.84 : x
  2. Step 2: Convert to fraction form
    115,939.96/160,001.10 = 64,954.84/x
  3. Step 3: Cross multiply
    115,939.96x = 160,001.10 × 64,954.84
  4. Step 4: Simplify right side
    115,939.96x = 10,392,845,850.32
  5. Step 5: Solve for x
    x = 10,392,845,850.32/115,939.96
  6. Step 6: Final answer
    x = 89,639.90

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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.