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Finding the Fourth Proportional to 229,416.48, 343,570.99 and 137,968.90

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Solution

The fourth proportional to 229,416.48, 343,570.99 and 137,968.90 is: 206,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,416.48 : 343,570.99 = 137,968.90 : x
  2. Step 2: Convert to fraction form
    229,416.48/343,570.99 = 137,968.90/x
  3. Step 3: Cross multiply
    229,416.48x = 343,570.99 × 137,968.90
  4. Step 4: Simplify right side
    229,416.48x = 47,402,111,562.21
  5. Step 5: Solve for x
    x = 47,402,111,562.21/229,416.48
  6. Step 6: Final answer
    x = 206,620.34

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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.