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Finding the Fourth Proportional to 214,459.68, 321,691.85 and 64,701.28

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Solution

The fourth proportional to 214,459.68, 321,691.85 and 64,701.28 is: 97,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,459.68 : 321,691.85 = 64,701.28 : x
  2. Step 2: Convert to fraction form
    214,459.68/321,691.85 = 64,701.28/x
  3. Step 3: Cross multiply
    214,459.68x = 321,691.85 × 64,701.28
  4. Step 4: Simplify right side
    214,459.68x = 20,813,874,460.57
  5. Step 5: Solve for x
    x = 20,813,874,460.57/214,459.68
  6. Step 6: Final answer
    x = 97,052.62

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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.