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Finding the Fourth Proportional to 120,047.36, 180,018 and 63,874.16

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Solution

The fourth proportional to 120,047.36, 180,018 and 63,874.16 is: 95,783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,047.36 : 180,018 = 63,874.16 : x
  2. Step 2: Convert to fraction form
    120,047.36/180,018 = 63,874.16/x
  3. Step 3: Cross multiply
    120,047.36x = 180,018 × 63,874.16
  4. Step 4: Simplify right side
    120,047.36x = 11,498,497,634.79
  5. Step 5: Solve for x
    x = 11,498,497,634.79/120,047.36
  6. Step 6: Final answer
    x = 95,783.01

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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.