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Finding the Fourth Proportional to 120,393, 180,598.62 and 36,146.64

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Solution

The fourth proportional to 120,393, 180,598.62 and 36,146.64 is: 54,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,393 : 180,598.62 = 36,146.64 : x
  2. Step 2: Convert to fraction form
    120,393/180,598.62 = 36,146.64/x
  3. Step 3: Cross multiply
    120,393x = 180,598.62 × 36,146.64
  4. Step 4: Simplify right side
    120,393x = 6,528,033,301.64
  5. Step 5: Solve for x
    x = 6,528,033,301.64/120,393
  6. Step 6: Final answer
    x = 54,222.70

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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.