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Finding the Fourth Proportional to 131,428.80, 197,143.20 and 78,811.20

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Solution

The fourth proportional to 131,428.80, 197,143.20 and 78,811.20 is: 118,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,428.80 : 197,143.20 = 78,811.20 : x
  2. Step 2: Convert to fraction form
    131,428.80/197,143.20 = 78,811.20/x
  3. Step 3: Cross multiply
    131,428.80x = 197,143.20 × 78,811.20
  4. Step 4: Simplify right side
    131,428.80x = 15,537,092,163.84
  5. Step 5: Solve for x
    x = 15,537,092,163.84/131,428.80
  6. Step 6: Final answer
    x = 118,216.80

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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.