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Finding the Fourth Proportional to 75,460.78, 113,191.05 and 20,056.78

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Solution

The fourth proportional to 75,460.78, 113,191.05 and 20,056.78 is: 30,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,460.78 : 113,191.05 = 20,056.78 : x
  2. Step 2: Convert to fraction form
    75,460.78/113,191.05 = 20,056.78/x
  3. Step 3: Cross multiply
    75,460.78x = 113,191.05 × 20,056.78
  4. Step 4: Simplify right side
    75,460.78x = 2,270,247,987.82
  5. Step 5: Solve for x
    x = 2,270,247,987.82/75,460.78
  6. Step 6: Final answer
    x = 30,085.14

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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.