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Finding the Fourth Proportional to 120,043.76, 180,104.52 and 57,706.16

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Solution

The fourth proportional to 120,043.76, 180,104.52 and 57,706.16 is: 86,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,043.76 : 180,104.52 = 57,706.16 : x
  2. Step 2: Convert to fraction form
    120,043.76/180,104.52 = 57,706.16/x
  3. Step 3: Cross multiply
    120,043.76x = 180,104.52 × 57,706.16
  4. Step 4: Simplify right side
    120,043.76x = 10,393,140,247.84
  5. Step 5: Solve for x
    x = 10,393,140,247.84/120,043.76
  6. Step 6: Final answer
    x = 86,577.93

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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.