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Finding the Fourth Proportional to 120,771.63, 180,344.18 and 98,628.93

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Solution

The fourth proportional to 120,771.63, 180,344.18 and 98,628.93 is: 147,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,771.63 : 180,344.18 = 98,628.93 : x
  2. Step 2: Convert to fraction form
    120,771.63/180,344.18 = 98,628.93/x
  3. Step 3: Cross multiply
    120,771.63x = 180,344.18 × 98,628.93
  4. Step 4: Simplify right side
    120,771.63x = 17,787,153,751.70
  5. Step 5: Solve for x
    x = 17,787,153,751.70/120,771.63
  6. Step 6: Final answer
    x = 147,279.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.