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Finding the Fourth Proportional to 115,285.76, 159,094.64 and 64,301.80

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Solution

The fourth proportional to 115,285.76, 159,094.64 and 64,301.80 is: 88,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,285.76 : 159,094.64 = 64,301.80 : x
  2. Step 2: Convert to fraction form
    115,285.76/159,094.64 = 64,301.80/x
  3. Step 3: Cross multiply
    115,285.76x = 159,094.64 × 64,301.80
  4. Step 4: Simplify right side
    115,285.76x = 10,230,071,722.35
  5. Step 5: Solve for x
    x = 10,230,071,722.35/115,285.76
  6. Step 6: Final answer
    x = 88,736.65

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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.