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Finding the Fourth Proportional to 121,357.80, 182,255.40 and 117,421.20

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Solution

The fourth proportional to 121,357.80, 182,255.40 and 117,421.20 is: 176,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,357.80 : 182,255.40 = 117,421.20 : x
  2. Step 2: Convert to fraction form
    121,357.80/182,255.40 = 117,421.20/x
  3. Step 3: Cross multiply
    121,357.80x = 182,255.40 × 117,421.20
  4. Step 4: Simplify right side
    121,357.80x = 21,400,647,774.48
  5. Step 5: Solve for x
    x = 21,400,647,774.48/121,357.80
  6. Step 6: Final answer
    x = 176,343.41

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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.