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Finding the Fourth Proportional to 138,102.34, 206,964.51 and 104,340.60

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Solution

The fourth proportional to 138,102.34, 206,964.51 and 104,340.60 is: 156,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,102.34 : 206,964.51 = 104,340.60 : x
  2. Step 2: Convert to fraction form
    138,102.34/206,964.51 = 104,340.60/x
  3. Step 3: Cross multiply
    138,102.34x = 206,964.51 × 104,340.60
  4. Step 4: Simplify right side
    138,102.34x = 21,594,801,152.11
  5. Step 5: Solve for x
    x = 21,594,801,152.11/138,102.34
  6. Step 6: Final answer
    x = 156,368.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.