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Finding the Fourth Proportional to 115,460.85, 173,202.62 and 47,978.94

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Solution

The fourth proportional to 115,460.85, 173,202.62 and 47,978.94 is: 71,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,460.85 : 173,202.62 = 47,978.94 : x
  2. Step 2: Convert to fraction form
    115,460.85/173,202.62 = 47,978.94/x
  3. Step 3: Cross multiply
    115,460.85x = 173,202.62 × 47,978.94
  4. Step 4: Simplify right side
    115,460.85x = 8,310,077,872.93
  5. Step 5: Solve for x
    x = 8,310,077,872.93/115,460.85
  6. Step 6: Final answer
    x = 71,973.12

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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.