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Finding the Fourth Proportional to 120,651, 180,976.50 and 46,779

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Solution

The fourth proportional to 120,651, 180,976.50 and 46,779 is: 70,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,651 : 180,976.50 = 46,779 : x
  2. Step 2: Convert to fraction form
    120,651/180,976.50 = 46,779/x
  3. Step 3: Cross multiply
    120,651x = 180,976.50 × 46,779
  4. Step 4: Simplify right side
    120,651x = 8,465,899,693.50
  5. Step 5: Solve for x
    x = 8,465,899,693.50/120,651
  6. Step 6: Final answer
    x = 70,168.50

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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.