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Finding the Fourth Proportional to 121,167.84, 181,774.80 and 38,085.60

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Solution

The fourth proportional to 121,167.84, 181,774.80 and 38,085.60 is: 57,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,167.84 : 181,774.80 = 38,085.60 : x
  2. Step 2: Convert to fraction form
    121,167.84/181,774.80 = 38,085.60/x
  3. Step 3: Cross multiply
    121,167.84x = 181,774.80 × 38,085.60
  4. Step 4: Simplify right side
    121,167.84x = 6,923,002,322.88
  5. Step 5: Solve for x
    x = 6,923,002,322.88/121,167.84
  6. Step 6: Final answer
    x = 57,135.64

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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.