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Finding the Fourth Proportional to 102,649.80, 153,974.70 and 96,040.20

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Solution

The fourth proportional to 102,649.80, 153,974.70 and 96,040.20 is: 144,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,649.80 : 153,974.70 = 96,040.20 : x
  2. Step 2: Convert to fraction form
    102,649.80/153,974.70 = 96,040.20/x
  3. Step 3: Cross multiply
    102,649.80x = 153,974.70 × 96,040.20
  4. Step 4: Simplify right side
    102,649.80x = 14,787,760,982.94
  5. Step 5: Solve for x
    x = 14,787,760,982.94/102,649.80
  6. Step 6: Final answer
    x = 144,060.30

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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.