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Finding the Fourth Proportional to 120,197.71, 180,385.14 and 57,018.01

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Solution

The fourth proportional to 120,197.71, 180,385.14 and 57,018.01 is: 85,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,197.71 : 180,385.14 = 57,018.01 : x
  2. Step 2: Convert to fraction form
    120,197.71/180,385.14 = 57,018.01/x
  3. Step 3: Cross multiply
    120,197.71x = 180,385.14 × 57,018.01
  4. Step 4: Simplify right side
    120,197.71x = 10,285,201,817.45
  5. Step 5: Solve for x
    x = 10,285,201,817.45/120,197.71
  6. Step 6: Final answer
    x = 85,569.04

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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.