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Finding the Fourth Proportional to 129,459.84, 193,883.20 and 82,570.56

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Solution

The fourth proportional to 129,459.84, 193,883.20 and 82,570.56 is: 123,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,459.84 : 193,883.20 = 82,570.56 : x
  2. Step 2: Convert to fraction form
    129,459.84/193,883.20 = 82,570.56/x
  3. Step 3: Cross multiply
    129,459.84x = 193,883.20 × 82,570.56
  4. Step 4: Simplify right side
    129,459.84x = 16,009,044,398.59
  5. Step 5: Solve for x
    x = 16,009,044,398.59/129,459.84
  6. Step 6: Final answer
    x = 123,660.31

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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.