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Finding the Fourth Proportional to 214,481, 321,713.42 and 64,717.30

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Solution

The fourth proportional to 214,481, 321,713.42 and 64,717.30 is: 97,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,481 : 321,713.42 = 64,717.30 : x
  2. Step 2: Convert to fraction form
    214,481/321,713.42 = 64,717.30/x
  3. Step 3: Cross multiply
    214,481x = 321,713.42 × 64,717.30
  4. Step 4: Simplify right side
    214,481x = 20,820,423,916.17
  5. Step 5: Solve for x
    x = 20,820,423,916.17/214,481
  6. Step 6: Final answer
    x = 97,073.51

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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.