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Finding the Fourth Proportional to 210,732.60, 315,638.10 and 163,615.80

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Solution

The fourth proportional to 210,732.60, 315,638.10 and 163,615.80 is: 245,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,732.60 : 315,638.10 = 163,615.80 : x
  2. Step 2: Convert to fraction form
    210,732.60/315,638.10 = 163,615.80/x
  3. Step 3: Cross multiply
    210,732.60x = 315,638.10 × 163,615.80
  4. Step 4: Simplify right side
    210,732.60x = 51,643,380,241.98
  5. Step 5: Solve for x
    x = 51,643,380,241.98/210,732.60
  6. Step 6: Final answer
    x = 245,065.93

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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.