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Finding the Fourth Proportional to 202,891.20, 304,336.80 and 53,131.20

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Solution

The fourth proportional to 202,891.20, 304,336.80 and 53,131.20 is: 79,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,891.20 : 304,336.80 = 53,131.20 : x
  2. Step 2: Convert to fraction form
    202,891.20/304,336.80 = 53,131.20/x
  3. Step 3: Cross multiply
    202,891.20x = 304,336.80 × 53,131.20
  4. Step 4: Simplify right side
    202,891.20x = 16,169,779,388.16
  5. Step 5: Solve for x
    x = 16,169,779,388.16/202,891.20
  6. Step 6: Final answer
    x = 79,696.80

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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.