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Finding the Fourth Proportional to 121,114, 181,677.48 and 38,014.48

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Solution

The fourth proportional to 121,114, 181,677.48 and 38,014.48 is: 57,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,114 : 181,677.48 = 38,014.48 : x
  2. Step 2: Convert to fraction form
    121,114/181,677.48 = 38,014.48/x
  3. Step 3: Cross multiply
    121,114x = 181,677.48 × 38,014.48
  4. Step 4: Simplify right side
    121,114x = 6,906,374,929.91
  5. Step 5: Solve for x
    x = 6,906,374,929.91/121,114
  6. Step 6: Final answer
    x = 57,023.75

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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.