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Finding the Fourth Proportional to 56,480.64, 84,659.20 and 30,120

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Solution

The fourth proportional to 56,480.64, 84,659.20 and 30,120 is: 45,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,480.64 : 84,659.20 = 30,120 : x
  2. Step 2: Convert to fraction form
    56,480.64/84,659.20 = 30,120/x
  3. Step 3: Cross multiply
    56,480.64x = 84,659.20 × 30,120
  4. Step 4: Simplify right side
    56,480.64x = 2,549,935,104
  5. Step 5: Solve for x
    x = 2,549,935,104/56,480.64
  6. Step 6: Final answer
    x = 45,147.06

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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.