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Finding the Fourth Proportional to 206,903.10, 310,063.05 and 127,782.30

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Solution

The fourth proportional to 206,903.10, 310,063.05 and 127,782.30 is: 191,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,903.10 : 310,063.05 = 127,782.30 : x
  2. Step 2: Convert to fraction form
    206,903.10/310,063.05 = 127,782.30/x
  3. Step 3: Cross multiply
    206,903.10x = 310,063.05 × 127,782.30
  4. Step 4: Simplify right side
    206,903.10x = 39,620,569,674.02
  5. Step 5: Solve for x
    x = 39,620,569,674.02/206,903.10
  6. Step 6: Final answer
    x = 191,493.36

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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.