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Finding the Fourth Proportional to 138,302.42, 207,121 and 78,958.16

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Solution

The fourth proportional to 138,302.42, 207,121 and 78,958.16 is: 118,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,302.42 : 207,121 = 78,958.16 : x
  2. Step 2: Convert to fraction form
    138,302.42/207,121 = 78,958.16/x
  3. Step 3: Cross multiply
    138,302.42x = 207,121 × 78,958.16
  4. Step 4: Simplify right side
    138,302.42x = 16,353,893,057.36
  5. Step 5: Solve for x
    x = 16,353,893,057.36/138,302.42
  6. Step 6: Final answer
    x = 118,247.34

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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.