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Finding the Fourth Proportional to 115,816.84, 159,819.48 and 64,820.86

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Solution

The fourth proportional to 115,816.84, 159,819.48 and 64,820.86 is: 89,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,816.84 : 159,819.48 = 64,820.86 : x
  2. Step 2: Convert to fraction form
    115,816.84/159,819.48 = 64,820.86/x
  3. Step 3: Cross multiply
    115,816.84x = 159,819.48 × 64,820.86
  4. Step 4: Simplify right side
    115,816.84x = 10,359,635,738.80
  5. Step 5: Solve for x
    x = 10,359,635,738.80/115,816.84
  6. Step 6: Final answer
    x = 89,448.44

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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.