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Finding the Fourth Proportional to 127,924.44, 191,637.32 and 77,880.42

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Solution

The fourth proportional to 127,924.44, 191,637.32 and 77,880.42 is: 116,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,924.44 : 191,637.32 = 77,880.42 : x
  2. Step 2: Convert to fraction form
    127,924.44/191,637.32 = 77,880.42/x
  3. Step 3: Cross multiply
    127,924.44x = 191,637.32 × 77,880.42
  4. Step 4: Simplify right side
    127,924.44x = 14,924,794,579.87
  5. Step 5: Solve for x
    x = 14,924,794,579.87/127,924.44
  6. Step 6: Final answer
    x = 116,668.83

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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.