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Finding the Fourth Proportional to 251,203.35, 346,656.71 and 138,023.67

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Solution

The fourth proportional to 251,203.35, 346,656.71 and 138,023.67 is: 190,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,203.35 : 346,656.71 = 138,023.67 : x
  2. Step 2: Convert to fraction form
    251,203.35/346,656.71 = 138,023.67/x
  3. Step 3: Cross multiply
    251,203.35x = 346,656.71 × 138,023.67
  4. Step 4: Simplify right side
    251,203.35x = 47,846,830,654.21
  5. Step 5: Solve for x
    x = 47,846,830,654.21/251,203.35
  6. Step 6: Final answer
    x = 190,470.51

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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.