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Finding the Fourth Proportional to 120,417.42, 180,738.21 and 61,297.34

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Solution

The fourth proportional to 120,417.42, 180,738.21 and 61,297.34 is: 92,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,417.42 : 180,738.21 = 61,297.34 : x
  2. Step 2: Convert to fraction form
    120,417.42/180,738.21 = 61,297.34/x
  3. Step 3: Cross multiply
    120,417.42x = 180,738.21 × 61,297.34
  4. Step 4: Simplify right side
    120,417.42x = 11,078,771,509.36
  5. Step 5: Solve for x
    x = 11,078,771,509.36/120,417.42
  6. Step 6: Final answer
    x = 92,003.07

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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.