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Finding the Fourth Proportional to 132,978.84, 183,510.84 and 85,232.19

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Solution

The fourth proportional to 132,978.84, 183,510.84 and 85,232.19 is: 117,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,978.84 : 183,510.84 = 85,232.19 : x
  2. Step 2: Convert to fraction form
    132,978.84/183,510.84 = 85,232.19/x
  3. Step 3: Cross multiply
    132,978.84x = 183,510.84 × 85,232.19
  4. Step 4: Simplify right side
    132,978.84x = 15,641,031,789.73
  5. Step 5: Solve for x
    x = 15,641,031,789.73/132,978.84
  6. Step 6: Final answer
    x = 117,620.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.