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Finding the Fourth Proportional to 99,813.04, 137,742.28 and 54,491.08

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Solution

The fourth proportional to 99,813.04, 137,742.28 and 54,491.08 is: 75,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,813.04 : 137,742.28 = 54,491.08 : x
  2. Step 2: Convert to fraction form
    99,813.04/137,742.28 = 54,491.08/x
  3. Step 3: Cross multiply
    99,813.04x = 137,742.28 × 54,491.08
  4. Step 4: Simplify right side
    99,813.04x = 7,505,725,598.86
  5. Step 5: Solve for x
    x = 7,505,725,598.86/99,813.04
  6. Step 6: Final answer
    x = 75,197.85

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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.