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Finding the Fourth Proportional to 78,438.69, 117,672.62 and 31,724.37

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Solution

The fourth proportional to 78,438.69, 117,672.62 and 31,724.37 is: 47,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,438.69 : 117,672.62 = 31,724.37 : x
  2. Step 2: Convert to fraction form
    78,438.69/117,672.62 = 31,724.37/x
  3. Step 3: Cross multiply
    78,438.69x = 117,672.62 × 31,724.37
  4. Step 4: Simplify right side
    78,438.69x = 3,733,089,577.13
  5. Step 5: Solve for x
    x = 3,733,089,577.13/78,438.69
  6. Step 6: Final answer
    x = 47,592.45

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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.