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Finding the Fourth Proportional to 206,689.86, 285,303.96 and 121,801.50

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Solution

The fourth proportional to 206,689.86, 285,303.96 and 121,801.50 is: 168,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,689.86 : 285,303.96 = 121,801.50 : x
  2. Step 2: Convert to fraction form
    206,689.86/285,303.96 = 121,801.50/x
  3. Step 3: Cross multiply
    206,689.86x = 285,303.96 × 121,801.50
  4. Step 4: Simplify right side
    206,689.86x = 34,750,450,283.94
  5. Step 5: Solve for x
    x = 34,750,450,283.94/206,689.86
  6. Step 6: Final answer
    x = 168,128.47

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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.