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Finding the Fourth Proportional to 120,462.85, 180,695.71 and 57,289.07

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Solution

The fourth proportional to 120,462.85, 180,695.71 and 57,289.07 is: 85,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,462.85 : 180,695.71 = 57,289.07 : x
  2. Step 2: Convert to fraction form
    120,462.85/180,695.71 = 57,289.07/x
  3. Step 3: Cross multiply
    120,462.85x = 180,695.71 × 57,289.07
  4. Step 4: Simplify right side
    120,462.85x = 10,351,889,702.24
  5. Step 5: Solve for x
    x = 10,351,889,702.24/120,462.85
  6. Step 6: Final answer
    x = 85,934.29

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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.