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Finding the Fourth Proportional to 64,714.58, 97,071.80 and 20,345.21

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Solution

The fourth proportional to 64,714.58, 97,071.80 and 20,345.21 is: 30,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,714.58 : 97,071.80 = 20,345.21 : x
  2. Step 2: Convert to fraction form
    64,714.58/97,071.80 = 20,345.21/x
  3. Step 3: Cross multiply
    64,714.58x = 97,071.80 × 20,345.21
  4. Step 4: Simplify right side
    64,714.58x = 1,974,945,568.99
  5. Step 5: Solve for x
    x = 1,974,945,568.99/64,714.58
  6. Step 6: Final answer
    x = 30,517.79

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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.