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Finding the Fourth Proportional to 70,832.18, 97,752 and 40,207.43

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Solution

The fourth proportional to 70,832.18, 97,752 and 40,207.43 is: 55,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,832.18 : 97,752 = 40,207.43 : x
  2. Step 2: Convert to fraction form
    70,832.18/97,752 = 40,207.43/x
  3. Step 3: Cross multiply
    70,832.18x = 97,752 × 40,207.43
  4. Step 4: Simplify right side
    70,832.18x = 3,930,356,697.36
  5. Step 5: Solve for x
    x = 3,930,356,697.36/70,832.18
  6. Step 6: Final answer
    x = 55,488.29

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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.