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Finding the Fourth Proportional to 99,830.88, 137,765.81 and 54,508.75

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Solution

The fourth proportional to 99,830.88, 137,765.81 and 54,508.75 is: 75,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,830.88 : 137,765.81 = 54,508.75 : x
  2. Step 2: Convert to fraction form
    99,830.88/137,765.81 = 54,508.75/x
  3. Step 3: Cross multiply
    99,830.88x = 137,765.81 × 54,508.75
  4. Step 4: Simplify right side
    99,830.88x = 7,509,441,887.69
  5. Step 5: Solve for x
    x = 7,509,441,887.69/99,830.88
  6. Step 6: Final answer
    x = 75,221.63

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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.