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Finding the Fourth Proportional to 101,815.94, 152,662.52 and 45,645.88

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Solution

The fourth proportional to 101,815.94, 152,662.52 and 45,645.88 is: 68,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,815.94 : 152,662.52 = 45,645.88 : x
  2. Step 2: Convert to fraction form
    101,815.94/152,662.52 = 45,645.88/x
  3. Step 3: Cross multiply
    101,815.94x = 152,662.52 × 45,645.88
  4. Step 4: Simplify right side
    101,815.94x = 6,968,415,068.42
  5. Step 5: Solve for x
    x = 6,968,415,068.42/101,815.94
  6. Step 6: Final answer
    x = 68,441.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.