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Finding the Fourth Proportional to 81,965.64, 122,950.88 and 32,043.72

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Solution

The fourth proportional to 81,965.64, 122,950.88 and 32,043.72 is: 48,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,965.64 : 122,950.88 = 32,043.72 : x
  2. Step 2: Convert to fraction form
    81,965.64/122,950.88 = 32,043.72/x
  3. Step 3: Cross multiply
    81,965.64x = 122,950.88 × 32,043.72
  4. Step 4: Simplify right side
    81,965.64x = 3,939,803,572.47
  5. Step 5: Solve for x
    x = 3,939,803,572.47/81,965.64
  6. Step 6: Final answer
    x = 48,066.53

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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.