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Finding the Fourth Proportional to 36,124.80, 54,316.80 and 30,422.40

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Solution

The fourth proportional to 36,124.80, 54,316.80 and 30,422.40 is: 45,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,124.80 : 54,316.80 = 30,422.40 : x
  2. Step 2: Convert to fraction form
    36,124.80/54,316.80 = 30,422.40/x
  3. Step 3: Cross multiply
    36,124.80x = 54,316.80 × 30,422.40
  4. Step 4: Simplify right side
    36,124.80x = 1,652,447,416.32
  5. Step 5: Solve for x
    x = 1,652,447,416.32/36,124.80
  6. Step 6: Final answer
    x = 45,742.74

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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.