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Finding the Fourth Proportional to 81,509.84, 122,275.64 and 32,250.32

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Solution

The fourth proportional to 81,509.84, 122,275.64 and 32,250.32 is: 48,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,509.84 : 122,275.64 = 32,250.32 : x
  2. Step 2: Convert to fraction form
    81,509.84/122,275.64 = 32,250.32/x
  3. Step 3: Cross multiply
    81,509.84x = 122,275.64 × 32,250.32
  4. Step 4: Simplify right side
    81,509.84x = 3,943,428,518.20
  5. Step 5: Solve for x
    x = 3,943,428,518.20/81,509.84
  6. Step 6: Final answer
    x = 48,379.78

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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.