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Finding the Fourth Proportional to 251,410.37, 346,946.27 and 138,233.12

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Solution

The fourth proportional to 251,410.37, 346,946.27 and 138,233.12 is: 190,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,410.37 : 346,946.27 = 138,233.12 : x
  2. Step 2: Convert to fraction form
    251,410.37/346,946.27 = 138,233.12/x
  3. Step 3: Cross multiply
    251,410.37x = 346,946.27 × 138,233.12
  4. Step 4: Simplify right side
    251,410.37x = 47,959,462,948.57
  5. Step 5: Solve for x
    x = 47,959,462,948.57/251,410.37
  6. Step 6: Final answer
    x = 190,761.68

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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.