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Finding the Fourth Proportional to 213,510.69, 320,304.96 and 71,342.43

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Solution

The fourth proportional to 213,510.69, 320,304.96 and 71,342.43 is: 107,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,510.69 : 320,304.96 = 71,342.43 : x
  2. Step 2: Convert to fraction form
    213,510.69/320,304.96 = 71,342.43/x
  3. Step 3: Cross multiply
    213,510.69x = 320,304.96 × 71,342.43
  4. Step 4: Simplify right side
    213,510.69x = 22,851,334,187.45
  5. Step 5: Solve for x
    x = 22,851,334,187.45/213,510.69
  6. Step 6: Final answer
    x = 107,026.65

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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.