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Finding the Fourth Proportional to 121,014, 181,530.59 and 36,781.47

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Solution

The fourth proportional to 121,014, 181,530.59 and 36,781.47 is: 55,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,014 : 181,530.59 = 36,781.47 : x
  2. Step 2: Convert to fraction form
    121,014/181,530.59 = 36,781.47/x
  3. Step 3: Cross multiply
    121,014x = 181,530.59 × 36,781.47
  4. Step 4: Simplify right side
    121,014x = 6,676,961,766.26
  5. Step 5: Solve for x
    x = 6,676,961,766.26/121,014
  6. Step 6: Final answer
    x = 55,175.12

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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.