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Finding the Fourth Proportional to 251,402.83, 346,923.07 and 138,203.71

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Solution

The fourth proportional to 251,402.83, 346,923.07 and 138,203.71 is: 190,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,402.83 : 346,923.07 = 138,203.71 : x
  2. Step 2: Convert to fraction form
    251,402.83/346,923.07 = 138,203.71/x
  3. Step 3: Cross multiply
    251,402.83x = 346,923.07 × 138,203.71
  4. Step 4: Simplify right side
    251,402.83x = 47,946,055,358.59
  5. Step 5: Solve for x
    x = 47,946,055,358.59/251,402.83
  6. Step 6: Final answer
    x = 190,714.06

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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.