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Finding the Fourth Proportional to 120,184.59, 180,022.60 and 77,939.18

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Solution

The fourth proportional to 120,184.59, 180,022.60 and 77,939.18 is: 116,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,184.59 : 180,022.60 = 77,939.18 : x
  2. Step 2: Convert to fraction form
    120,184.59/180,022.60 = 77,939.18/x
  3. Step 3: Cross multiply
    120,184.59x = 180,022.60 × 77,939.18
  4. Step 4: Simplify right side
    120,184.59x = 14,030,813,697.86
  5. Step 5: Solve for x
    x = 14,030,813,697.86/120,184.59
  6. Step 6: Final answer
    x = 116,743.86

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1.5x scale

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.