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Finding the Fourth Proportional to 129,654.80, 194,482.20 and 31,158.80

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Solution

The fourth proportional to 129,654.80, 194,482.20 and 31,158.80 is: 46,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,654.80 : 194,482.20 = 31,158.80 : x
  2. Step 2: Convert to fraction form
    129,654.80/194,482.20 = 31,158.80/x
  3. Step 3: Cross multiply
    129,654.80x = 194,482.20 × 31,158.80
  4. Step 4: Simplify right side
    129,654.80x = 6,059,831,973.36
  5. Step 5: Solve for x
    x = 6,059,831,973.36/129,654.80
  6. Step 6: Final answer
    x = 46,738.20

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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.