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Finding the Fourth Proportional to 64,162.64, 96,245.64 and 30,420.74

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Solution

The fourth proportional to 64,162.64, 96,245.64 and 30,420.74 is: 45,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,162.64 : 96,245.64 = 30,420.74 : x
  2. Step 2: Convert to fraction form
    64,162.64/96,245.64 = 30,420.74/x
  3. Step 3: Cross multiply
    64,162.64x = 96,245.64 × 30,420.74
  4. Step 4: Simplify right side
    64,162.64x = 2,927,863,109.35
  5. Step 5: Solve for x
    x = 2,927,863,109.35/64,162.64
  6. Step 6: Final answer
    x = 45,631.90

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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.