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Finding the Fourth Proportional to 129,020.40, 193,530.60 and 75,657.60

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Solution

The fourth proportional to 129,020.40, 193,530.60 and 75,657.60 is: 113,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,020.40 : 193,530.60 = 75,657.60 : x
  2. Step 2: Convert to fraction form
    129,020.40/193,530.60 = 75,657.60/x
  3. Step 3: Cross multiply
    129,020.40x = 193,530.60 × 75,657.60
  4. Step 4: Simplify right side
    129,020.40x = 14,642,060,722.56
  5. Step 5: Solve for x
    x = 14,642,060,722.56/129,020.40
  6. Step 6: Final answer
    x = 113,486.40

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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.