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Finding the Fourth Proportional to 138,813.60, 207,928.80 and 76,411.20

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Solution

The fourth proportional to 138,813.60, 207,928.80 and 76,411.20 is: 114,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,813.60 : 207,928.80 = 76,411.20 : x
  2. Step 2: Convert to fraction form
    138,813.60/207,928.80 = 76,411.20/x
  3. Step 3: Cross multiply
    138,813.60x = 207,928.80 × 76,411.20
  4. Step 4: Simplify right side
    138,813.60x = 15,888,089,122.56
  5. Step 5: Solve for x
    x = 15,888,089,122.56/138,813.60
  6. Step 6: Final answer
    x = 114,456.29

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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.