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Finding the Fourth Proportional to 120,651.50, 180,977.26 and 46,779.50

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Solution

The fourth proportional to 120,651.50, 180,977.26 and 46,779.50 is: 70,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,651.50 : 180,977.26 = 46,779.50 : x
  2. Step 2: Convert to fraction form
    120,651.50/180,977.26 = 46,779.50/x
  3. Step 3: Cross multiply
    120,651.50x = 180,977.26 × 46,779.50
  4. Step 4: Simplify right side
    120,651.50x = 8,466,025,734.17
  5. Step 5: Solve for x
    x = 8,466,025,734.17/120,651.50
  6. Step 6: Final answer
    x = 70,169.25

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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.