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Finding the Fourth Proportional to 115,194, 158,975.88 and 64,893

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Solution

The fourth proportional to 115,194, 158,975.88 and 64,893 is: 89,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,194 : 158,975.88 = 64,893 : x
  2. Step 2: Convert to fraction form
    115,194/158,975.88 = 64,893/x
  3. Step 3: Cross multiply
    115,194x = 158,975.88 × 64,893
  4. Step 4: Simplify right side
    115,194x = 10,316,421,780.84
  5. Step 5: Solve for x
    x = 10,316,421,780.84/115,194
  6. Step 6: Final answer
    x = 89,556.94

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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.