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Finding the Fourth Proportional to 64,874, 97,310.42 and 20,500.76

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Solution

The fourth proportional to 64,874, 97,310.42 and 20,500.76 is: 30,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,874 : 97,310.42 = 20,500.76 : x
  2. Step 2: Convert to fraction form
    64,874/97,310.42 = 20,500.76/x
  3. Step 3: Cross multiply
    64,874x = 97,310.42 × 20,500.76
  4. Step 4: Simplify right side
    64,874x = 1,994,937,565.92
  5. Step 5: Solve for x
    x = 1,994,937,565.92/64,874
  6. Step 6: Final answer
    x = 30,750.96

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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.