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Finding the Fourth Proportional to 130,474.80, 195,712.20 and 77,986.80

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Solution

The fourth proportional to 130,474.80, 195,712.20 and 77,986.80 is: 116,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,474.80 : 195,712.20 = 77,986.80 : x
  2. Step 2: Convert to fraction form
    130,474.80/195,712.20 = 77,986.80/x
  3. Step 3: Cross multiply
    130,474.80x = 195,712.20 × 77,986.80
  4. Step 4: Simplify right side
    130,474.80x = 15,262,968,198.96
  5. Step 5: Solve for x
    x = 15,262,968,198.96/130,474.80
  6. Step 6: Final answer
    x = 116,980.20

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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.