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Finding the Fourth Proportional to 99,633.71, 137,491.76 and 54,312.57

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Solution

The fourth proportional to 99,633.71, 137,491.76 and 54,312.57 is: 74,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,633.71 : 137,491.76 = 54,312.57 : x
  2. Step 2: Convert to fraction form
    99,633.71/137,491.76 = 54,312.57/x
  3. Step 3: Cross multiply
    99,633.71x = 137,491.76 × 54,312.57
  4. Step 4: Simplify right side
    99,633.71x = 7,467,530,839.42
  5. Step 5: Solve for x
    x = 7,467,530,839.42/99,633.71
  6. Step 6: Final answer
    x = 74,949.84

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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.