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Finding the Fourth Proportional to 131,399.90, 196,850.62 and 77,978.98

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Solution

The fourth proportional to 131,399.90, 196,850.62 and 77,978.98 is: 116,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,399.90 : 196,850.62 = 77,978.98 : x
  2. Step 2: Convert to fraction form
    131,399.90/196,850.62 = 77,978.98/x
  3. Step 3: Cross multiply
    131,399.90x = 196,850.62 × 77,978.98
  4. Step 4: Simplify right side
    131,399.90x = 15,350,210,559.97
  5. Step 5: Solve for x
    x = 15,350,210,559.97/131,399.90
  6. Step 6: Final answer
    x = 116,820.57

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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.