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Finding the Fourth Proportional to 115,889.78, 159,890.46 and 64,894.88

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Solution

The fourth proportional to 115,889.78, 159,890.46 and 64,894.88 is: 89,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,889.78 : 159,890.46 = 64,894.88 : x
  2. Step 2: Convert to fraction form
    115,889.78/159,890.46 = 64,894.88/x
  3. Step 3: Cross multiply
    115,889.78x = 159,890.46 × 64,894.88
  4. Step 4: Simplify right side
    115,889.78x = 10,376,072,214.84
  5. Step 5: Solve for x
    x = 10,376,072,214.84/115,889.78
  6. Step 6: Final answer
    x = 89,533.97

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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.