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Finding the Fourth Proportional to 120,486.78, 180,484.74 and 57,114.81

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Solution

The fourth proportional to 120,486.78, 180,484.74 and 57,114.81 is: 85,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,486.78 : 180,484.74 = 57,114.81 : x
  2. Step 2: Convert to fraction form
    120,486.78/180,484.74 = 57,114.81/x
  3. Step 3: Cross multiply
    120,486.78x = 180,484.74 × 57,114.81
  4. Step 4: Simplify right side
    120,486.78x = 10,308,351,633.00
  5. Step 5: Solve for x
    x = 10,308,351,633.00/120,486.78
  6. Step 6: Final answer
    x = 85,555.87

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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.