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Finding the Fourth Proportional to 105,924.62, 158,978.05 and 61,489.64

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Solution

The fourth proportional to 105,924.62, 158,978.05 and 61,489.64 is: 92,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,924.62 : 158,978.05 = 61,489.64 : x
  2. Step 2: Convert to fraction form
    105,924.62/158,978.05 = 61,489.64/x
  3. Step 3: Cross multiply
    105,924.62x = 158,978.05 × 61,489.64
  4. Step 4: Simplify right side
    105,924.62x = 9,775,503,062.40
  5. Step 5: Solve for x
    x = 9,775,503,062.40/105,924.62
  6. Step 6: Final answer
    x = 92,287.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.