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Finding the Fourth Proportional to 251,180.80, 346,635.92 and 138,006.40

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Solution

The fourth proportional to 251,180.80, 346,635.92 and 138,006.40 is: 190,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,180.80 : 346,635.92 = 138,006.40 : x
  2. Step 2: Convert to fraction form
    251,180.80/346,635.92 = 138,006.40/x
  3. Step 3: Cross multiply
    251,180.80x = 346,635.92 × 138,006.40
  4. Step 4: Simplify right side
    251,180.80x = 47,837,975,429.89
  5. Step 5: Solve for x
    x = 47,837,975,429.89/251,180.80
  6. Step 6: Final answer
    x = 190,452.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.