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Finding the Fourth Proportional to 81,507.84, 122,272.64 and 32,248.32

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Solution

The fourth proportional to 81,507.84, 122,272.64 and 32,248.32 is: 48,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,507.84 : 122,272.64 = 32,248.32 : x
  2. Step 2: Convert to fraction form
    81,507.84/122,272.64 = 32,248.32/x
  3. Step 3: Cross multiply
    81,507.84x = 122,272.64 × 32,248.32
  4. Step 4: Simplify right side
    81,507.84x = 3,943,087,221.96
  5. Step 5: Solve for x
    x = 3,943,087,221.96/81,507.84
  6. Step 6: Final answer
    x = 48,376.78

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1.5x scale

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.