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Finding the Fourth Proportional to 114,696.80, 172,045.20 and 30,456.80

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Solution

The fourth proportional to 114,696.80, 172,045.20 and 30,456.80 is: 45,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,696.80 : 172,045.20 = 30,456.80 : x
  2. Step 2: Convert to fraction form
    114,696.80/172,045.20 = 30,456.80/x
  3. Step 3: Cross multiply
    114,696.80x = 172,045.20 × 30,456.80
  4. Step 4: Simplify right side
    114,696.80x = 5,239,946,247.36
  5. Step 5: Solve for x
    x = 5,239,946,247.36/114,696.80
  6. Step 6: Final answer
    x = 45,685.20

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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.