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Finding the Fourth Proportional to 120,657.78, 180,989.10 and 57,485.16

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Solution

The fourth proportional to 120,657.78, 180,989.10 and 57,485.16 is: 86,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,657.78 : 180,989.10 = 57,485.16 : x
  2. Step 2: Convert to fraction form
    120,657.78/180,989.10 = 57,485.16/x
  3. Step 3: Cross multiply
    120,657.78x = 180,989.10 × 57,485.16
  4. Step 4: Simplify right side
    120,657.78x = 10,404,187,371.76
  5. Step 5: Solve for x
    x = 10,404,187,371.76/120,657.78
  6. Step 6: Final answer
    x = 86,228.90

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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.