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Finding the Fourth Proportional to 138,292.68, 207,429.30 and 78,942.36

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Solution

The fourth proportional to 138,292.68, 207,429.30 and 78,942.36 is: 118,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,292.68 : 207,429.30 = 78,942.36 : x
  2. Step 2: Convert to fraction form
    138,292.68/207,429.30 = 78,942.36/x
  3. Step 3: Cross multiply
    138,292.68x = 207,429.30 × 78,942.36
  4. Step 4: Simplify right side
    138,292.68x = 16,374,958,475.15
  5. Step 5: Solve for x
    x = 16,374,958,475.15/138,292.68
  6. Step 6: Final answer
    x = 118,407.99

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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.