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Finding the Fourth Proportional to 152,398, 210,309.32 and 85,331.44

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Solution

The fourth proportional to 152,398, 210,309.32 and 85,331.44 is: 117,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,398 : 210,309.32 = 85,331.44 : x
  2. Step 2: Convert to fraction form
    152,398/210,309.32 = 85,331.44/x
  3. Step 3: Cross multiply
    152,398x = 210,309.32 × 85,331.44
  4. Step 4: Simplify right side
    152,398x = 17,945,997,121.02
  5. Step 5: Solve for x
    x = 17,945,997,121.02/152,398
  6. Step 6: Final answer
    x = 117,757.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.