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Finding the Fourth Proportional to 131,399.40, 196,849.86 and 77,978.48

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Solution

The fourth proportional to 131,399.40, 196,849.86 and 77,978.48 is: 116,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,399.40 : 196,849.86 = 77,978.48 : x
  2. Step 2: Convert to fraction form
    131,399.40/196,849.86 = 77,978.48/x
  3. Step 3: Cross multiply
    131,399.40x = 196,849.86 × 77,978.48
  4. Step 4: Simplify right side
    131,399.40x = 15,350,051,886.76
  5. Step 5: Solve for x
    x = 15,350,051,886.76/131,399.40
  6. Step 6: Final answer
    x = 116,819.80

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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.