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Finding the Fourth Proportional to 99,797.79, 137,723.94 and 54,478.74

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Solution

The fourth proportional to 99,797.79, 137,723.94 and 54,478.74 is: 75,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,797.79 : 137,723.94 = 54,478.74 : x
  2. Step 2: Convert to fraction form
    99,797.79/137,723.94 = 54,478.74/x
  3. Step 3: Cross multiply
    99,797.79x = 137,723.94 × 54,478.74
  4. Step 4: Simplify right side
    99,797.79x = 7,503,026,719.04
  5. Step 5: Solve for x
    x = 7,503,026,719.04/99,797.79
  6. Step 6: Final answer
    x = 75,182.29

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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.