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Finding the Fourth Proportional to 152,029.82, 209,808.16 and 91,620.02

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Solution

The fourth proportional to 152,029.82, 209,808.16 and 91,620.02 is: 126,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,029.82 : 209,808.16 = 91,620.02 : x
  2. Step 2: Convert to fraction form
    152,029.82/209,808.16 = 91,620.02/x
  3. Step 3: Cross multiply
    152,029.82x = 209,808.16 × 91,620.02
  4. Step 4: Simplify right side
    152,029.82x = 19,222,627,815.36
  5. Step 5: Solve for x
    x = 19,222,627,815.36/152,029.82
  6. Step 6: Final answer
    x = 126,439.85

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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.