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Finding the Fourth Proportional to 121,166, 181,765.56 and 42,268.40

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Solution

The fourth proportional to 121,166, 181,765.56 and 42,268.40 is: 63,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,166 : 181,765.56 = 42,268.40 : x
  2. Step 2: Convert to fraction form
    121,166/181,765.56 = 42,268.40/x
  3. Step 3: Cross multiply
    121,166x = 181,765.56 × 42,268.40
  4. Step 4: Simplify right side
    121,166x = 7,682,939,396.30
  5. Step 5: Solve for x
    x = 7,682,939,396.30/121,166
  6. Step 6: Final answer
    x = 63,408.38

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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.