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Finding the Fourth Proportional to 121,154, 181,732.64 and 38,048

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Solution

The fourth proportional to 121,154, 181,732.64 and 38,048 is: 57,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,154 : 181,732.64 = 38,048 : x
  2. Step 2: Convert to fraction form
    121,154/181,732.64 = 38,048/x
  3. Step 3: Cross multiply
    121,154x = 181,732.64 × 38,048
  4. Step 4: Simplify right side
    121,154x = 6,914,563,486.72
  5. Step 5: Solve for x
    x = 6,914,563,486.72/121,154
  6. Step 6: Final answer
    x = 57,072.52

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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.