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Finding the Fourth Proportional to 47,489.86, 65,508.64 and 30,230.31

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Solution

The fourth proportional to 47,489.86, 65,508.64 and 30,230.31 is: 41,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,489.86 : 65,508.64 = 30,230.31 : x
  2. Step 2: Convert to fraction form
    47,489.86/65,508.64 = 30,230.31/x
  3. Step 3: Cross multiply
    47,489.86x = 65,508.64 × 30,230.31
  4. Step 4: Simplify right side
    47,489.86x = 1,980,346,494.88
  5. Step 5: Solve for x
    x = 1,980,346,494.88/47,489.86
  6. Step 6: Final answer
    x = 41,700.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.