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Finding the Fourth Proportional to 206,907.43, 310,354.98 and 57,156.70

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Solution

The fourth proportional to 206,907.43, 310,354.98 and 57,156.70 is: 85,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,907.43 : 310,354.98 = 57,156.70 : x
  2. Step 2: Convert to fraction form
    206,907.43/310,354.98 = 57,156.70/x
  3. Step 3: Cross multiply
    206,907.43x = 310,354.98 × 57,156.70
  4. Step 4: Simplify right side
    206,907.43x = 17,738,866,485.37
  5. Step 5: Solve for x
    x = 17,738,866,485.37/206,907.43
  6. Step 6: Final answer
    x = 85,733.35

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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.