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Finding the Fourth Proportional to 120,431.79, 180,402.17 and 57,059.82

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Solution

The fourth proportional to 120,431.79, 180,402.17 and 57,059.82 is: 85,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,431.79 : 180,402.17 = 57,059.82 : x
  2. Step 2: Convert to fraction form
    120,431.79/180,402.17 = 57,059.82/x
  3. Step 3: Cross multiply
    120,431.79x = 180,402.17 × 57,059.82
  4. Step 4: Simplify right side
    120,431.79x = 10,293,715,062.51
  5. Step 5: Solve for x
    x = 10,293,715,062.51/120,431.79
  6. Step 6: Final answer
    x = 85,473.40

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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.