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Finding the Fourth Proportional to 202,931.20, 304,396.80 and 55,187.20

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Solution

The fourth proportional to 202,931.20, 304,396.80 and 55,187.20 is: 82,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,931.20 : 304,396.80 = 55,187.20 : x
  2. Step 2: Convert to fraction form
    202,931.20/304,396.80 = 55,187.20/x
  3. Step 3: Cross multiply
    202,931.20x = 304,396.80 × 55,187.20
  4. Step 4: Simplify right side
    202,931.20x = 16,798,807,080.96
  5. Step 5: Solve for x
    x = 16,798,807,080.96/202,931.20
  6. Step 6: Final answer
    x = 82,780.80

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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.