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Finding the Fourth Proportional to 131,409.80, 197,114.70 and 76,113.80

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Solution

The fourth proportional to 131,409.80, 197,114.70 and 76,113.80 is: 114,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,409.80 : 197,114.70 = 76,113.80 : x
  2. Step 2: Convert to fraction form
    131,409.80/197,114.70 = 76,113.80/x
  3. Step 3: Cross multiply
    131,409.80x = 197,114.70 × 76,113.80
  4. Step 4: Simplify right side
    131,409.80x = 15,003,148,852.86
  5. Step 5: Solve for x
    x = 15,003,148,852.86/131,409.80
  6. Step 6: Final answer
    x = 114,170.70

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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.