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Finding the Fourth Proportional to 206,518.50, 285,000.44 and 115,881.17

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Solution

The fourth proportional to 206,518.50, 285,000.44 and 115,881.17 is: 159,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,518.50 : 285,000.44 = 115,881.17 : x
  2. Step 2: Convert to fraction form
    206,518.50/285,000.44 = 115,881.17/x
  3. Step 3: Cross multiply
    206,518.50x = 285,000.44 × 115,881.17
  4. Step 4: Simplify right side
    206,518.50x = 33,026,184,437.71
  5. Step 5: Solve for x
    x = 33,026,184,437.71/206,518.50
  6. Step 6: Final answer
    x = 159,918.77

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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.