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Finding the Fourth Proportional to 132,984, 199,476 and 59,112

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Solution

The fourth proportional to 132,984, 199,476 and 59,112 is: 88,668

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,984 : 199,476 = 59,112 : x
  2. Step 2: Convert to fraction form
    132,984/199,476 = 59,112/x
  3. Step 3: Cross multiply
    132,984x = 199,476 × 59,112
  4. Step 4: Simplify right side
    132,984x = 11,791,425,312
  5. Step 5: Solve for x
    x = 11,791,425,312/132,984
  6. Step 6: Final answer
    x = 88,668

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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.