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Finding the Fourth Proportional to 206,686.80, 285,225.26 and 116,040.50

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Solution

The fourth proportional to 206,686.80, 285,225.26 and 116,040.50 is: 160,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,686.80 : 285,225.26 = 116,040.50 : x
  2. Step 2: Convert to fraction form
    206,686.80/285,225.26 = 116,040.50/x
  3. Step 3: Cross multiply
    206,686.80x = 285,225.26 × 116,040.50
  4. Step 4: Simplify right side
    206,686.80x = 33,097,681,783.03
  5. Step 5: Solve for x
    x = 33,097,681,783.03/206,686.80
  6. Step 6: Final answer
    x = 160,134.47

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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.