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Finding the Fourth Proportional to 210,068, 315,102 and 54,420

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Solution

The fourth proportional to 210,068, 315,102 and 54,420 is: 81,630

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,068 : 315,102 = 54,420 : x
  2. Step 2: Convert to fraction form
    210,068/315,102 = 54,420/x
  3. Step 3: Cross multiply
    210,068x = 315,102 × 54,420
  4. Step 4: Simplify right side
    210,068x = 17,147,850,840
  5. Step 5: Solve for x
    x = 17,147,850,840/210,068
  6. Step 6: Final answer
    x = 81,630

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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.