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Finding the Fourth Proportional to 206,358.06, 284,669.31 and 134,779.98

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Solution

The fourth proportional to 206,358.06, 284,669.31 and 134,779.98 is: 185,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,358.06 : 284,669.31 = 134,779.98 : x
  2. Step 2: Convert to fraction form
    206,358.06/284,669.31 = 134,779.98/x
  3. Step 3: Cross multiply
    206,358.06x = 284,669.31 × 134,779.98
  4. Step 4: Simplify right side
    206,358.06x = 38,367,723,908.41
  5. Step 5: Solve for x
    x = 38,367,723,908.41/206,358.06
  6. Step 6: Final answer
    x = 185,927.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.