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Finding the Fourth Proportional to 162,340.78, 223,885.24 and 101,917.06

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Solution

The fourth proportional to 162,340.78, 223,885.24 and 101,917.06 is: 140,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,340.78 : 223,885.24 = 101,917.06 : x
  2. Step 2: Convert to fraction form
    162,340.78/223,885.24 = 101,917.06/x
  3. Step 3: Cross multiply
    162,340.78x = 223,885.24 × 101,917.06
  4. Step 4: Simplify right side
    162,340.78x = 22,817,725,540.01
  5. Step 5: Solve for x
    x = 22,817,725,540.01/162,340.78
  6. Step 6: Final answer
    x = 140,554.49

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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.