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Finding the Fourth Proportional to 121,133.80, 181,709.34 and 42,224.68

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Solution

The fourth proportional to 121,133.80, 181,709.34 and 42,224.68 is: 63,340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,133.80 : 181,709.34 = 42,224.68 : x
  2. Step 2: Convert to fraction form
    121,133.80/181,709.34 = 42,224.68/x
  3. Step 3: Cross multiply
    121,133.80x = 181,709.34 × 42,224.68
  4. Step 4: Simplify right side
    121,133.80x = 7,672,618,734.51
  5. Step 5: Solve for x
    x = 7,672,618,734.51/121,133.80
  6. Step 6: Final answer
    x = 63,340.03

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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.