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Finding the Fourth Proportional to 206,918.84, 310,157.59 and 117,980.84

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Solution

The fourth proportional to 206,918.84, 310,157.59 and 117,980.84 is: 176,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,918.84 : 310,157.59 = 117,980.84 : x
  2. Step 2: Convert to fraction form
    206,918.84/310,157.59 = 117,980.84/x
  3. Step 3: Cross multiply
    206,918.84x = 310,157.59 × 117,980.84
  4. Step 4: Simplify right side
    206,918.84x = 36,592,653,000.58
  5. Step 5: Solve for x
    x = 36,592,653,000.58/206,918.84
  6. Step 6: Final answer
    x = 176,845.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.