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Finding the Fourth Proportional to 206,560, 285,008.88 and 121,646.08

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Solution

The fourth proportional to 206,560, 285,008.88 and 121,646.08 is: 167,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,560 : 285,008.88 = 121,646.08 : x
  2. Step 2: Convert to fraction form
    206,560/285,008.88 = 121,646.08/x
  3. Step 3: Cross multiply
    206,560x = 285,008.88 × 121,646.08
  4. Step 4: Simplify right side
    206,560x = 34,670,213,017.19
  5. Step 5: Solve for x
    x = 34,670,213,017.19/206,560
  6. Step 6: Final answer
    x = 167,845.73

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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.