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Finding the Fourth Proportional to 115,738.16, 159,717.84 and 64,750.64

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Solution

The fourth proportional to 115,738.16, 159,717.84 and 64,750.64 is: 89,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,738.16 : 159,717.84 = 64,750.64 : x
  2. Step 2: Convert to fraction form
    115,738.16/159,717.84 = 64,750.64/x
  3. Step 3: Cross multiply
    115,738.16x = 159,717.84 × 64,750.64
  4. Step 4: Simplify right side
    115,738.16x = 10,341,832,359.42
  5. Step 5: Solve for x
    x = 10,341,832,359.42/115,738.16
  6. Step 6: Final answer
    x = 89,355.42

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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.