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Finding the Fourth Proportional to 78,342.47, 117,433.26 and 30,938.34

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Solution

The fourth proportional to 78,342.47, 117,433.26 and 30,938.34 is: 46,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,342.47 : 117,433.26 = 30,938.34 : x
  2. Step 2: Convert to fraction form
    78,342.47/117,433.26 = 30,938.34/x
  3. Step 3: Cross multiply
    78,342.47x = 117,433.26 × 30,938.34
  4. Step 4: Simplify right side
    78,342.47x = 3,633,189,970.50
  5. Step 5: Solve for x
    x = 3,633,189,970.50/78,342.47
  6. Step 6: Final answer
    x = 46,375.74

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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.