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Finding the Fourth Proportional to 206,888.40, 310,326.30 and 57,137.76

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Solution

The fourth proportional to 206,888.40, 310,326.30 and 57,137.76 is: 85,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,888.40 : 310,326.30 = 57,137.76 : x
  2. Step 2: Convert to fraction form
    206,888.40/310,326.30 = 57,137.76/x
  3. Step 3: Cross multiply
    206,888.40x = 310,326.30 × 57,137.76
  4. Step 4: Simplify right side
    206,888.40x = 17,731,349,651.09
  5. Step 5: Solve for x
    x = 17,731,349,651.09/206,888.40
  6. Step 6: Final answer
    x = 85,704.90

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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.