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Finding the Fourth Proportional to 206,988.97, 285,477.71 and 138,985.45

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Solution

The fourth proportional to 206,988.97, 285,477.71 and 138,985.45 is: 191,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,988.97 : 285,477.71 = 138,985.45 : x
  2. Step 2: Convert to fraction form
    206,988.97/285,477.71 = 138,985.45/x
  3. Step 3: Cross multiply
    206,988.97x = 285,477.71 × 138,985.45
  4. Step 4: Simplify right side
    206,988.97x = 39,677,247,294.39
  5. Step 5: Solve for x
    x = 39,677,247,294.39/206,988.97
  6. Step 6: Final answer
    x = 191,687.74

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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.