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Finding the Fourth Proportional to 77,924.79, 107,486.34 and 54,042.75

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Solution

The fourth proportional to 77,924.79, 107,486.34 and 54,042.75 is: 74,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,924.79 : 107,486.34 = 54,042.75 : x
  2. Step 2: Convert to fraction form
    77,924.79/107,486.34 = 54,042.75/x
  3. Step 3: Cross multiply
    77,924.79x = 107,486.34 × 54,042.75
  4. Step 4: Simplify right side
    77,924.79x = 5,808,857,401.04
  5. Step 5: Solve for x
    x = 5,808,857,401.04/77,924.79
  6. Step 6: Final answer
    x = 74,544.41

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1.5x scale

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.