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Finding the Fourth Proportional to 132,390, 182,698.20 and 72,774

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Solution

The fourth proportional to 132,390, 182,698.20 and 72,774 is: 100,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,390 : 182,698.20 = 72,774 : x
  2. Step 2: Convert to fraction form
    132,390/182,698.20 = 72,774/x
  3. Step 3: Cross multiply
    132,390x = 182,698.20 × 72,774
  4. Step 4: Simplify right side
    132,390x = 13,295,678,806.80
  5. Step 5: Solve for x
    x = 13,295,678,806.80/132,390
  6. Step 6: Final answer
    x = 100,428.12

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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.