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Finding the Fourth Proportional to 209,605.56, 314,127.90 and 102,825.96

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Solution

The fourth proportional to 209,605.56, 314,127.90 and 102,825.96 is: 154,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,605.56 : 314,127.90 = 102,825.96 : x
  2. Step 2: Convert to fraction form
    209,605.56/314,127.90 = 102,825.96/x
  3. Step 3: Cross multiply
    209,605.56x = 314,127.90 × 102,825.96
  4. Step 4: Simplify right side
    209,605.56x = 32,300,502,880.28
  5. Step 5: Solve for x
    x = 32,300,502,880.28/209,605.56
  6. Step 6: Final answer
    x = 154,101.36

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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.