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Finding the Fourth Proportional to 251,386.56, 346,914.32 and 138,216.48

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Solution

The fourth proportional to 251,386.56, 346,914.32 and 138,216.48 is: 190,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,386.56 : 346,914.32 = 138,216.48 : x
  2. Step 2: Convert to fraction form
    251,386.56/346,914.32 = 138,216.48/x
  3. Step 3: Cross multiply
    251,386.56x = 346,914.32 × 138,216.48
  4. Step 4: Simplify right side
    251,386.56x = 47,949,276,171.99
  5. Step 5: Solve for x
    x = 47,949,276,171.99/251,386.56
  6. Step 6: Final answer
    x = 190,739.22

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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.