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Finding the Fourth Proportional to 251,311.86, 346,811.52 and 138,141.90

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Solution

The fourth proportional to 251,311.86, 346,811.52 and 138,141.90 is: 190,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,311.86 : 346,811.52 = 138,141.90 : x
  2. Step 2: Convert to fraction form
    251,311.86/346,811.52 = 138,141.90/x
  3. Step 3: Cross multiply
    251,311.86x = 346,811.52 × 138,141.90
  4. Step 4: Simplify right side
    251,311.86x = 47,909,202,314.69
  5. Step 5: Solve for x
    x = 47,909,202,314.69/251,311.86
  6. Step 6: Final answer
    x = 190,636.46

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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.