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Finding the Fourth Proportional to 130,346.78, 179,959.82 and 100,071.82

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Solution

The fourth proportional to 130,346.78, 179,959.82 and 100,071.82 is: 138,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,346.78 : 179,959.82 = 100,071.82 : x
  2. Step 2: Convert to fraction form
    130,346.78/179,959.82 = 100,071.82/x
  3. Step 3: Cross multiply
    130,346.78x = 179,959.82 × 100,071.82
  4. Step 4: Simplify right side
    130,346.78x = 18,008,906,714.27
  5. Step 5: Solve for x
    x = 18,008,906,714.27/130,346.78
  6. Step 6: Final answer
    x = 138,161.50

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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.